hyper2f3as

MATLAB

Fas = hyper2f3as(B,D,z)

Description

Asymptotic approximation of $_2F_3({B},{D},-{z})$, z >> 1. This routine calculates the asymptotic expression for the generalized hypergeometric funcion for the case for which there are two numerator parameters and three denominator parameters. The asymptotic expression approximates $_2F_3({B},{D},-{z})$ when Z is large and positive.

Parameters

Parameters	Description
B [vector]	Vector of numerator parameters, must have length 2
D [vector]	Vector of denominator parameters, must have length 3
z [vector]	Values for which the hypergeometric function is to be evaluated. The values in z that are passed into the routine should be positive; the function values calculated will be asymptotic approximations for $_2F_3({B},{D},-{z})$.

Return Values

Return Values	Description
Fas [vector]	Asymptotic approximations for $_2F_3({B},{D},-{z})$

References

Y. L. Luke, The Special Functions and Their Approximations. New York,: Academic Press, 1969.