Generalized fractional operator representations of Jacobi type orthogonal polynomials

K. S. Nisar

paper

Generalized fractional operator representations of Jacobi type orthogonal polynomials

arXiv:1709.08324

Abstract

The aim of this paper is to apply generalized operators of fractional integration and differentiation involving Appell's function $F_{3} (:)$ due to Marichev-Saigo-Maeda (MSM), to the Jacobi type orthogonal polynomials. The results are expressed in terms of generalized hypergeometric function. Some of the interesting special cases of the main results also established.