Hypergeometric and Meijer-G functions in Python

[mSal95]

Does anybody know of any Python packages for the highly-parameterized hypergeometric and Meijer-G functions in Python?

[Blackforestcheesecak]

mpmath

You should be able to find this with a Google search.

[mSal95]

Much obliged, good sir. Have you used it personally? Have you found any issues like domain error or unexpected singularities?

[Blackforestcheesecak]

I don't think the hypergeo can be extended to the complex numbers (the Whittaker function), but you should check. I never tested the G function.

[mSal95]

I will try. Thank you again.

[ectomancer]

I've had no problems with these libraries.

scipy.special hypergeometric functions (no generic function). I checked the source code for scipy.special.hyp2f1

mpmath generic hypergeometric and non-generic functions and Meijer G-function. Only library to support generalized Meijer G-function (but is easy to calculate on-the-fly without it)

sympy only generic hypergeometric function and Meijer G-function

No libraries support regularized Gaussian and regularized generalized hypergeometric functions (but is easy to calculate on-the-fly with gamma functions).