The objective of this paper is to find some closed form of certain reduction formulas for Appell’s hypergeometric function F4 with suitable convergence conditions.
Keywords and Phrases
Gauss hypergeometric function; Appell’s function of fourth kind; K¨ummer’s first, second and third summation theorems.
A.M.S. subject classiﬁcation
Primary 33C65, 33C20; Secondary 33C05.