$fractional calculus$

Example of Math Function 数学函数

A simple straightforward way to run interactive mathematics in a web page is by mathHandbook.com

Notice that Microsoft Internet Explorer IE did not support svg, so IE cannot show these graph, please use other browrer.

Here are some particularly nice examples from math function that show real and imaginary parts of special functions on complex axes and on the complex plane.

besselJ( n, x ) — the first five Bessel function of the first kind of real or complex order n of a real or complex number.

Bessel functions of the first kind for both positive (blue) and negative (red) real order

Bessel function of the first kind

Bessel function of the second kind

Hankel function of the first kind

Hankel function of the second kind

Jacobi elliptic sine

Jacobi elliptic cosine

Jacobi delta amplitude function

Gamma function

Riemann zeta function

Proper spherical harmonics in 3D

coloring butterfly

bianchi-pinkall-animation

bianchi-pinkall-animation zoomed

sinc(x,y) in 3D graph

SchwarzPrimitiveSurface

CornuSpiral