chf_1F1: Kummer's (confluent hypergeometric) function in log-scale

In scModels: Fitting Discrete Distribution Models to Count Data

Kummer's (confluent hypergeometric) function in log-scale

Description

Kummer's function (also: confluent hypergeometric function of the first kind) for numeric (non-complex) values and input parameters in log-scale.

Usage

chf_1F1(x, a, b)

Arguments

x	numeric value or vector
a, b	numeric parameters of the Kummer function

Details

Note that the output is in log-scale. So the evaluated function is:

log [ ∑ from n to ∞ (a^(n) x^n)/ (b^(n) n!)]

where a^(n) and b^(n) describe the rising factorial.

Examples

x <- chf_1F1(-100:100, 5, 7)
plot(-100:100, x, type='l')

scModels documentation built on Feb. 16, 2023, 6:12 p.m.