Generalized fractional operator representations of Jacobi type orthogonal polynomials

2017/09/25 by Kottakkaran Sooppy Nisar, Nisar, K. S.
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Quantum Mechanics and Non-Hermitian Physics #Analytic and geometric function theory

paper · pdf · doi:10.48550/arxiv.1709.08324

Abstract

The aim of this paper is to apply generalized operators of fractional integration and differentiation involving Appell's function F₃(:) 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.

Citations

• The Asymptotic Expansion of Generalized Hypergeometric Functions

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