Some Applications on Generalized Hypergeometric and Confluent Hypergeometric Functions

摘要

Recently, some generalizations of the generalized famous special functions (e.g. Gamma function, Beta function, Gauss hypergeometric function,…etc) have been studied in recent literature. The main object of this paper is to express explicitly the generalization of the classical generalized hypergeometric function pFq in terms of the classical generalized hypergeometric function itself; moreover, the Pfaff-Saalschütz theorem is given as special case from it, and some new integrals using the generalized Gauss hypergeometric functions are obtained and many important results are noted.