hypergeometric function


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hypergeometric function

[‚hī·pər‚jē·ə′me·trik ′fəŋk·shən]
(mathematics)
A function which is a solution to the hypergeometric equation and obtained as an infinite series expansion.
References in periodicals archive ?
stands for the v - th modified Bessel function ofthe second kind, 2 F1 (a, b; c; d) the hypergeometric function, and [E.
where [PHI]([alpha]; [beta]; *) is the type 1 confluent hypergeometric function.
1] X/d) by the confluent hypergeometric function of matrix argument [sub.
are extensively studied by Altinates and Owa[1] and certain conditions for hypergeometric function and generalized Bessel functionf for these classes were studied by Mostafa[2] and Porwal and Dixit[3].
This paper studies the confluent (Kummer) hypergeometric function [PHI](a; c; z) given by
Certain fractional integral inequalities involving the Gauss hypergeometric function
The exact solution of (24) subject to the boundary conditions (25) can be written in terms of confluent hypergeometric function in terms of similarity variable [eta] and is given by
Generalized ordinary hypergeometric function of one variable is defined by