scipy.special.hyp0f1

scipy.special.hyp0f1(v, x) = <ufunc 'hyp0f1'>

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:

\[_0F_1(v, z) = \sum_{k=0}^{\infty}\frac{z^k}{(v)_k k!}.\]

It’s also the limit as \(q \to \infty\) of \(_1F_1(q; v; z/q)\), and satisfies the differential equation \(f''(z) + vf'(z) = f(z)\).