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)`.