Certain integrals involving the generalized hypergeometric function and the Laguerre polynomials

摘要

The aim of the paper is to establish certain new integrals involving the generalized Gauss hypergeometric function, generalized confluent hypergeometric function, and the Laguerre Polynomials. On account of the most general nature of the functions involved therein, our main findings are capable of yielding a large number of new, interesting, and useful integrals, expansion formulas involving the hypergeometric function, and the Laguerre Polynomials as their special cases.