Indefinite integrals involving Jacobi polynomials from integrating factors

Abstract

ABSTRACT A method was presented recently for deriving integrals of special functions using two kinds of integrating factor for the homogeneous second-order linear differential equations which many special functions obey. The classical orthogonal polynomials are well suited for this method, and results are given here for Jacobi polynomials. Results have been previously presented for Gegenbauer, Hermite and Laguerre polynomials. All the integrals presented here appear to be new and have been checked using Mathematica.