dot-hypgeo: Calculate F(i-1, i+2, 2, x)

In lbozhilova/kimura: Fitting Kimura Distirbutions to Heteroplasmy Data

Calculate F(i-1, i+2, 2, x)

Description

Use Gauss' contiguous relations to calculate the hypergeometric function F(i-1, i+2, 2, x) needed for estimating the Kimura distribution.

Usage

.hypgeo(i, x)

Arguments

i	positive integer.
x	number in (0; 1): the point at which the function is calculated.

Value

The value of F(i-1, i+2, 2, x), calculated recursively.

References

Wonnapinij, Passorn, Patrick F. Chinnery, and David C. Samuels. "The distribution of mitochondrial DNA heteroplasmy due to random genetic drift." The American Journal of Human Genetics 83.5 (2008): 582-593.

Hoang-Binh, D. "A program to compute exact hydrogenic radial integrals, oscillator strengths, and Einstein coefficients, for principal quantum numbers up to n≈ 1000." Computer Physics Communications 166.3 (2005): 191-196.

Examples

.hypgeo(5, .3)

lbozhilova/kimura documentation built on May 7, 2023, 12:07 p.m.