This is documentation for an old release of SciPy (version 0.12.0). Read this page Search for this page in the documentation of the latest stable release (version 1.15.1).

scipy.special.hyp0f1¶

scipy.special.hyp0f1(v, z)[source]¶

Confluent hypergeometric limit function 0F1.

Parameters :

v, z : array_like

Input values.

Returns :

hyp0f1 : ndarray

The confluent hypergeometric limit function.

Notes

This function is defined as:

$_0F_1(v,z) = \sum_{k=0}^{\inf}\frac{z^k}{(v)_k k!}.$

It’s also the limit as q -> infinity of 1F1(q;v;z/q), and satisfies the differential equation :math:``f’‘(z) + vf’(z) = f(z)`.