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Generalized fractional operator representations of Jacobi type orthogonal polynomials (1709.08324v1)
Published 25 Sep 2017 in math.CA
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.