Communications of the
Korean Mathematical Society CKMS

A remarkably large number of integrals whose integrands are associated, in particular, with a variety of special functions, for example, the hypergeometric and generalized hypergeometric functions have been recorded. Here we aim at presenting certain (presumably) new and (potentially) useful integral formulas whose integrands are involved in a product of ${}_2F_1$, Srivastava polynomials, and Kamp\'{e} de F\'{e}riet functions. The main results are derived with the help of some known definite integrals obtained earlier by Qureshi \emph{et al.} \cite{MI-KA-RP}. Some interesting special cases of our main results are also considered.

Keywords: hypergeometric functions, Kamp\'{e} de F\'{e}riet function, Srivastava polynomials, Hermite polynomials, Laguerre polynomials

MSC numbers: Primary 33E10, 33E12, 33E99; Secondary 44A45, 68W30