On certain integral formulas involving the generalized Lommel-Wright function and Jacobi polynomial

Abstract

The main aim of the present paper is to derive some integral formulas involving a product of the generalized Lommel-Wright function and the classical Jacobi polynomial. The results obtained in the present paper are expressed in terms of well-known Srivastava and Daoust functions. Besides evaluating some novel forms of finite integrals, several other interesting particular cases, hitherto scattered in the literature, are also determined in the present investigation.