In this article, a hypergeometric generating function with suitable convergence conditions in the form of Srivastava-Daoust triple hypergeometric function is derived by using series rearrangement technique. Some generating functions for Bedient's two polynomials and Shively pseudo-Laguerre polynomials are also obtained as special cases.
Keywords and Phrases
Hypergeometric functions; Series rearrangement technique; Pseudo-Laguerre polynomials; Bedient polynomials; Multiple series identity.
A.M.S. subject classiﬁcation
33C20, 33C45, 05A15.