So far I posted images consisting in color encoded representations of the following complex functions:

Riemann zeta function, 2 images: http://en.wikipedia.org/wiki/Riemann_zeta_function.

Jacobi elliptic functions, 4 images: http://en.wikipedia.org/wiki/Jacobi_elliptic_functions

Complex Fresnel integrals S(z), and C(z), 2 images: http://en.wikipedia.org/wiki/Fresnel_integral

Hurwitz zeta function, 3 images: https://en.wikipedia.org/wiki/Hurwitz_zeta_function

Dirichlet eta function https://en.wikipedia.org/wiki/Dirichlet_eta_function

Gamma function, 3 images: http://en.wikipedia.org/wiki/Gamma_function

Digamma function, 2 images: http://en.wikipedia.org/wiki/Digamma_function

Trigamma function http://en.wikipedia.org/wiki/Trigamma_function

Rogers-Ramanujan continued fraction, 2 images: http://en.wikipedia.org/wiki/Rogers%E2%80%93Ramanujan_continued_fraction

All above Wikipedia destinated plots, except for the last one, are based on evaluations of the special functions provided by the Python library mpmath ( zeta , altzeta , hurwitz , fresnels , fresnelc , dirichlet , kleinj or Jacobi elliptic functions ellipfun of kind sn , cn , dn ).

In a previous IPython Notebook are defined the Python color functions used by mpmath.cplot to generate different domain coloring type representation of these special functions.

The last plot for Wikipedia, with a slightly different approach, is the Rogers-Ramanujan continued fraction.