kummers_m: Confluent hypergeometric function of the 1st kind

Description Usage Arguments Details Value

Description

The following differential equation is called Kummer's equation:

Usage

1
kummers_m(a, b, z)

Arguments

a, b

complex parameters in Kummer's equation

z

complex number at which to evaluate Kummer's M function

Details

z f"(z) + (a-z) f'(z) - b f(z) = 0

.

One of its two solutions is the confluent hypergeometric function of the first kind, also known as Kummer's M function.

Value

Returns the natural logarithm of the real part of Kummer's M function with parameters a and b evaluated at z.


cbaumbach/betapoisson documentation built on May 13, 2019, 1:47 p.m.