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Commun. Korean Math. Soc. 2017; 32(3): 677-688
Online first article March 29, 2017 Printed July 31, 2017
https://doi.org/10.4134/CKMS.c160192
Copyright © The Korean Mathematical Society.
Some composition formulas of Jacobi type orthogonal polynomials
Pradeep Malik and Saiful R. Mondal
University of Petroleum and Energy Studies, King Faisal University
The composition of Jacobi type finite classes of the classical orthogonal polynomials with two generalized Riemann-Liouville fractional derivatives are considered. The outcomes are expressed in terms of generalized Wright function or generalized hypergeometric function. Similar composition formulas are also obtained by considering the generalized Riemann-Liouville and Erd\'eyi-Kober fractional integral operators.
Keywords: fractional integral transform, classical orthogonal polynomials, generalized Wright function, generalized hypergeometric function
MSC numbers: 26A33, 33C45, 33C05, 33C20, 33C60, 26A09, 33E20
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