Category:Special functions

Subcategories

This category has the following 45 subcategories, out of 45 total.

Media in category "Special functions"

The following 200 files are in this category, out of 255 total.

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  2022-07-30 18 07 05-Barnes-G zoomed.png 1,164 × 763; 73 KB
  
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  2022-08-09 12 43 26-Barnes-G from -6 to 4.png 611 × 416; 23 KB
  
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  A plot of the absolute value function abs(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 708; 326 KB
  
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  A plot of the Coshc function Cosh(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 699; 832 KB
  
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  A plot of the cothc function Cothc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 693; 902 KB
  
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  A plot of the cschc function cschc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 1,338 × 1,245; 1.93 MB
  
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  A plot of the cschc function cschc(z^2) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 1,338 × 1,238; 2.22 MB
  
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  A plot of the sechc function Sechc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 700; 766 KB
  
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  A plot of the Sinhc function Sinhc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 686; 433 KB
  
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  A plot of the tanhc function Tanhc(z) in the complex plane from -2-2i to 2+2i with colors created with the Mathematica function ComplexPlot3D.svg 784 × 694; 498 KB
  
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  Absolute argument plot of the gamma function from z=-4 to 7 created in Mathematica 13.1.svg 785 × 541; 131 KB
  
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  Askey Scheme hypergeom orthogonal polynomials.png 2,314 × 1,158; 35 KB
  
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  Askey Scheme hypergeometric orthogonal polynomials.jpg 1,260 × 552; 147 KB
  
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  Bernoulli polynomials no title.svg 600 × 480; 19 KB
  
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  Bernstein polynomials.svg 720 × 499; 85 KB
  
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  Beta Function plotted in the complex plane in three dimensions with Mathematica 13.1's ComplexPlot3D.svg 785 × 696; 848 KB
  
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  Bifurcation of Pearcey Integral.png 400 × 400; 4 KB
  
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  Boubaker Polynomials (n=0-6), x=(-2,2).svg 720 × 460; 93 KB
  
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  Boxcar function approximation.png 409 × 330; 3 KB
  
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  Brjuno function.png 1,000 × 1,000; 26 KB
  
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  Buchstab-function-graph-from-1-to-4.png 1,330 × 930; 9 KB
  
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  Catastrophe Cusp of Pearcey Integral.png 400 × 400; 5 KB
  
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  Chapman function.svg 270 × 270; 28 KB
  
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  Chebyshev Zeros.svg 563 × 373; 819 KB
  
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  Complex 3d plot the Bessel Clifford function evaluated at n=3 divided by 22 as C(3 divided 22,z) from -2-2i to 2+2i.svg 713 × 588; 709 KB
  
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  Complex color plot of the Laguerre polynomial L n(x) with n as -1 divided by 9 and x as z to the power of 4 from -2-2i to 2+2i.svg 784 × 690; 966 KB
  
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  Complex Plot of the regular Coulomb wave function from -2-2i to 2+2i in three dimensions created with Mathematica.svg 1,104 × 1,005; 2.8 MB
  
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  Complex Riemann Xi.jpg 853 × 853; 162 KB
  
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  Complex theta minus0point1times e i pi 0point1.jpg 681 × 681; 116 KB
  
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  Cornu spiral.png 201 × 201; 4 KB
  
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  Cosine integral.svg 359 × 273; 66 KB
  
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  Coulomb F function plot.png 400 × 400; 130 KB
  
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  Coulomb G function plot.png 400 × 400; 79 KB
  
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  Dedekind Eta.jpg 925 × 231; 78 KB
  
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  DickmanRho.png 839 × 700; 4 KB
  
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  DiscriminantDelta.svg 2,097 × 1,059; 555 KB
  
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  Easement Curve.png 600 × 326; 10 KB
  
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  Easement curve.svg 575 × 321; 2 KB
  
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  Eisenstein 10.jpg 658 × 334; 124 KB
  
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  Eisenstein 12.jpg 658 × 333; 127 KB
  
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  Eisenstein 14.jpg 657 × 333; 127 KB
  
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  Eisenstein 4.jpg 644 × 327; 110 KB
  
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  Eisenstein 6.jpg 645 × 328; 117 KB
  
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  Eisenstein 8.jpg 646 × 329; 124 KB
  
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  Euler-bqf-2x2.PNG 925 × 800; 8 KB
  
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  Faddeeva Function Domain Colouring Plot.svg 900 × 900; 2.82 MB
  
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  Fadeeva Function.png 400 × 400; 106 KB
  
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  Fibonacci continuous.png 1,098 × 1,118; 33 KB
  
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  First derivatives of Neutralisers.png 722 × 400; 6 KB
  
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  Gamma Function plotted in the complex plane in three dimensions with Mathematica ComplexPlot3D.svg 785 × 705; 1.41 MB
  
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  Gamma function.gif 480 × 330; 1,022 KB
  
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  Generalisation of Euler–Mascheroni constant.jpg 1,345 × 355; 79 KB
  
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  Gjl-g a,b(x).png 672 × 297; 4 KB
  
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  Gjl-w a(x).png 672 × 297; 4 KB
  
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  Goodwin-Station integral Maple complex 3D plot.png 400 × 400; 76 KB
  
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  Goodwin-staton integral derivative 2D plot.png 400 × 400; 5 KB
  
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  Goodwin-staton integral derivative Re 3D plot.png 400 × 400; 90 KB
  
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  Goodwin-staton integral Im complex 3D plot.png 400 × 400; 75 KB
  
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  Goodwin-Staton integral Im density plot.JPG 409 × 401; 23 KB
  
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  Goodwin-Staton Integral.png 400 × 400; 5 KB
  
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  Graph of the Fabius function between 0 and 1.png 590 × 584; 16 KB
  
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  Graph of the Fabius function.png 781 × 93; 12 KB
  
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  Hyperbolic and Circular Conic Sections Combined.png 1,516 × 2,072; 334 KB
  
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  Hyperbolic functions-2.svg 500 × 437; 7 KB
  
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  Hyperbolic functions.svg 520 × 420; 3 KB
  
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  Incircles.JPG 708 × 415; 27 KB
  
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  Infinite power tower.svg 385 × 699; 19 KB
  
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  InfinitePowerTower.gif 300 × 369; 9 KB
  
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  Integrand of Kelvin Wake Integral.png 400 × 400; 157 KB
  
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  Irregular Coulomb wave function G plotted from 0 to 20 with repulsive and attractive interactions in Mathematica.svg 839 × 439; 63 KB
  
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  J-Invariant.svg 2,097 × 1,055; 892 KB
  
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  Jacobi am function and imverse 1.png 448 × 455; 25 KB
  
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  Jacobi am function and imverse 2.png 448 × 455; 27 KB
  
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  Jacobi theta 1.png 365 × 318; 78 KB
  
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  Jacobi theta 2.png 365 × 320; 78 KB
  
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  Jacobi theta 3.png 359 × 288; 81 KB
  
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  Jacobi theta 4.png 359 × 286; 81 KB
  
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  JacobiCN.png 400 × 400; 122 KB
  
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  JacobiDN plot.png 400 × 400; 153 KB
  
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  JacobiFunctionAbstract.png 644 × 362; 2 KB
  
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  JacobiSN.png 400 × 400; 108 KB
  
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  Kelvin Ship Wake Integrand contour Maple plot.png 400 × 400; 35 KB
  
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  Kelvin Wakes contour plot.png 830 × 400; 12 KB
  
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  Kelvin Wakes density plot.png 996 × 400; 136 KB
  
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  KelvinBei.png 400 × 400; 65 KB
  
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  KelvinBer.png 400 × 400; 62 KB
  
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  KelvinKei.png 400 × 400; 83 KB
  
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  KelvinKer.png 400 × 400; 72 KB
  
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  KleinInvariantJ.jpg 947 × 704; 324 KB
  
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  KleinjCont.png 600 × 600; 453 KB
  
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  KleinjHSV.png 600 × 600; 392 KB
  
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  Klff.png 1,750 × 1,155; 52 KB
  
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  Knotenlinien sin xy RK02.svg 784 × 784; 10 KB
  
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  KWW dist. funct. log fr.png 2,599 × 1,876; 137 KB
  
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  KWW dist. funct. log.png 2,599 × 1,876; 220 KB
  
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  KWW dist. function linear fr.png 2,528 × 1,820; 97 KB
  
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  KWW dist. function linear.png 2,528 × 1,820; 169 KB
  
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  Lambert Wien 001.png 616 × 581; 61 KB
  
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  Legendre MRA filter.svg 720 × 508; 96 KB
  
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  Legendre smoothing filter.png 576 × 407; 52 KB
  
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  Lobatschewski.png 806 × 200; 11 KB
  
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  Logarithmicpmf.svg 1,300 × 975; 8 KB
  
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  LommelS1.png 400 × 400; 111 KB
  
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  LommelS2.png 400 × 400; 67 KB
  
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  Lucas continuous.png 1,104 × 1,118; 38 KB
  
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  Maple density plot of Kelvin Wake.png 976 × 400; 284 KB
  
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  MathieuC shortwave.gif 400 × 400; 12 KB
  
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  MathieuCE.gif 480 × 480; 13 KB
  
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  MathieuCPrime shortwave.gif 400 × 400; 12 KB
  
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  MathieuFloquet.gif 400 × 400; 12 KB
  
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  Mplwp arithmetic-geometric mean.svg 600 × 400; 34 KB
  
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  Mplwp Dickman function log.svg 600 × 400; 38 KB
  
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  Mplwp Dickman function.svg 600 × 400; 32 KB
  
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  Mplwp dilogarithm complex.svg 600 × 400; 36 KB
  
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  Mplwp dilogarithm.svg 600 × 400; 21 KB
  
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  Mplwp dirichlet beta.svg 600 × 400; 25 KB
  
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  Mplwp Fabius function.svg 600 × 400; 39 KB
  
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  Neutralisers.png 838 × 400; 5 KB
  
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  NevilleThetaC Maple complex plot 01.png 400 × 400; 106 KB
  
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  NevilleThetaC.png 400 × 400; 5 KB
  
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  NevilleThetaD Maple complex plot.png 400 × 400; 113 KB
  
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  NevilleThetaD.png 400 × 400; 6 KB
  
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  NevilleThetaN Maple complex plot.png 400 × 400; 113 KB
  
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  NevilleThetaN.png 400 × 400; 6 KB
  
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  NevilleThetaS Maple complex plot.png 400 × 400; 114 KB
  
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  NevilleThetaS.png 400 × 400; 6 KB
  
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  Normal cumulative distribution function complex plot in Mathematica 13.1 with ComplexPlot3D.svg 2,170 × 2,076; 3.23 MB
  
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  Pearcey Integral 3D Maple plot.png 400 × 400; 140 KB
  
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  Pearcey Integral Maple contour plot.png 400 × 400; 22 KB
  
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  Pearcey Integral Maple density plot.png 400 × 400; 312 KB
  
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  Pibmasterplot fr.png 2,097 × 1,567; 279 KB
  
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  Pibmasterplot.png 2,097 × 1,567; 256 KB
  
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  Plot of gamma function in complex plane in 3D with color and legend and 1000 plot points created with Mathematica.svg 1,484 × 1,434; 3.51 MB
  
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  Plot of gamma function in the complex plane from -2-i to 6+2i with colors created in Mathematica.svg 863 × 461; 1.12 MB
  
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  Plot of logarithmic gamma function in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 703; 1.09 MB
  
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  Plot of polygamma function in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1.svg 785 × 706; 1.01 MB
  
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  Plot of the Airy function Ai(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,246; 2.05 MB
  
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  Plot of the Airy function Bi(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,253; 2.07 MB
  
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  Plot of the Anger function J v(z) with n=2 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,244; 2.13 MB
  
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  Plot of the arctangent function arctan(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg 784 × 689; 843 KB
  
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  Plot of the arctangent function of z^2 arctan(z^2) in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg 784 × 690; 961 KB
  
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  Plot of the arithmetic-geometric mean function with 1 and z in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg 979 × 898; 703 KB
  
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  Plot of the Barnes G aka double gamma function G(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 686; 1.09 MB
  
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  Plot of the Bateman function k n(z) with n=7 in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg 784 × 699; 1,016 KB
  
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  Plot of the Bessel function of the first kind J n(z) with n=0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,243; 1.7 MB
  
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  Plot of the Bessel function of the second kind Y n(z) with n=0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,253; 2.12 MB
  
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  Plot of the Chebyshev polynomial of the first kind T n(x) with n=5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,233; 2.77 MB
  
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  Plot of the complementary error function Erfc(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 703; 1.11 MB
  
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  Plot of the complex argument function arg(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica function ComplexPlot3D.svg 784 × 699; 483 KB
  
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  Plot of the confluent hypergeometric function 0F1(;a;z) with a=sqrt(2) and the input=z^2 as 0F1(;sqrt(2);z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1.svg 785 × 704; 722 KB
  
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  Plot of the cosine integral function Ci(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 703; 924 KB
  
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  Plot of the Dawson integral function F(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 694; 1.16 MB
  
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  Plot of the derivative of the Airy function Ai'(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,261; 2.2 MB
  
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  Plot of the derivative of the Airy function Bi'(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,254; 2.11 MB
  
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  Plot of the derivative of the Scorer function Gi'(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,261; 2.16 MB
  
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  Plot of the derivative of the Scorer function Hi'(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,251; 1.64 MB
  
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  Plot of the error function Erf(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 704; 1.03 MB
  
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  Plot of the exponential integral function E n(z) with n=2 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 703; 1.08 MB
  
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  Plot of the exponential integral function Ei(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 704; 763 KB
  
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  Plot of the Fox H function H((((a 1,α 1),...,(a n,α n)),((a n+1,α n+1),...,(a p,α p)),(((b 1,β 1),...,(b m,β m)),in ((b m+1,β m+1),...,(b q,β q))),z) with H(((),()),(((-1,½)),()),z).svg 785 × 694; 1.4 MB
  
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  Plot of the Fresnel auxillary function F(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,250; 2.53 MB
  
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  Plot of the Fresnel auxillary function G(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,251; 2.85 MB
  
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  Plot of the Fresnel integral function C(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,246; 2.94 MB
  
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  Plot of the Fresnel integral function S(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 694; 1.37 MB
  
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  Plot of the Gegenbauer polynomial C n^(m)(x) with n=10 and m=1 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,221; 3.22 MB
  
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  Plot of the generalized hypergeometric function pFq(a b z) with a=(2,4,6,8) and b=(2,3,5,7,11) in the complex plane from -2-2i to 2+2i created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 689; 420 KB
  
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  Plot of the Hankel function of the first kind H n^(1)(z) with n=-0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,261; 1.51 MB
  
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  Plot of the Hankel function of the second kind H n^(2)(z) with n=-0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,261; 2.41 MB
  
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  Plot of the hyperbolic cosine integral function Chi(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,256; 1.77 MB
  
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  Plot of the hyperbolic sine integral function Shi(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,261; 1.96 MB
  
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  Plot of the hypergeometric function 2F1(a,b; c; z) with a=2 and b=3 and c=4 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 701; 917 KB
  
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  Plot of the imaginary error function Erfi(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 704; 1.07 MB
  
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  Plot of the Jacobi polynomial function P n^(a,b) with n=10 and a=2 and b=2 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,229; 3.28 MB
  
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  Plot of the Kelvin function bei(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,245; 2.16 MB
  
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  Plot of the Kelvin function ber(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 784 × 693; 1.18 MB
  
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  Plot of the Kelvin function kei(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,258; 2.13 MB
  
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  Plot of the Kelvin function ker(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,259; 2.16 MB
  
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  Plot of the Kummer confluent hypergeometric function 1F1(a;b;z) with a=1 and b=2 and input z² with 1F1(1,2,z²) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1.svg 785 × 703; 1.14 MB
  
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  Plot of the Legendre function of the second kind Q n(x) with n=0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,253; 1.63 MB
  
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  Plot of the Legendre polynomial P n(x) with n=0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,240; 1.5 MB
  
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  Plot of the logarithmic integral function li(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 703; 770 KB
  
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  Plot of the Meiger G function G(((a 1,...,a n),(a n+1,...,a p)),((b 1,...,b m),(b m+1,...,b q)),z) input ((½),()),((⅓),()) in the complex plane from -2-2i to 2+2i.svg 1,484 × 1,391; 1.65 MB
  
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  Plot of the modified Struve function L n(z) with n=2 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,261; 2.58 MB
  
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  Plot of the regularized incomplete gamma function Q(2,z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,258; 2.22 MB
  
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  Plot of the Scorer function Gi(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,250; 1.92 MB
  
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  Plot of the Scorer function Hi(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,254; 1.52 MB
  
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  Plot of the sine integral function Si(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 708; 942 KB
  
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  Plot of the spherical Bessel function of the first kind j n(z) with n=0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,254; 1.62 MB
  
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  Plot of the spherical Bessel function of the second kind y n(z) with n=0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,245; 2.06 MB
  
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  Plot of the spherical Hankel function of the first kind h n^(1)(z) with n=-0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,260; 1.6 MB
  
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  Plot of the spherical Hankel function of the second kind h n^(2)(z) with n=-0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,259; 2.43 MB
  
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  Plot of the spherical harmonic Y l^m(theta,phi) with n=2 and m=1 and phi=pi in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,246; 2.6 MB
  
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  Plot of the Struve function H n(z) with n=2 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,261; 2.55 MB
  
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  Plot of the Weber function E v(z) with n=2 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 1,339 × 1,248; 2.04 MB
  
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  Plot of the Whittaker function M k,m(z) with k=2 and m=½ in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 700; 1.18 MB
  
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  Plot of the Whittaker function W k,m(z) with k=2 and m=½ in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg 785 × 695; 967 KB
  
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  Q function complex plot plotted with Mathematica 13.1 ComplexPlot3D.svg 2,170 × 2,076; 3.89 MB
  
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  Qsin.gif 400 × 400; 35 KB
  
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  Raised Cosine.png 922 × 302; 9 KB
  
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  Raiz cubica.png 628 × 554; 15 KB