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http://dx.doi.org/10.4134/CKMS.c160192

SOME COMPOSITION FORMULAS OF JACOBI TYPE ORTHOGONAL POLYNOMIALS  

Malik, Pradeep (Department of Mathematics University of Petroleum and Energy Studies)
Mondal, Saiful R. (Department of Mathematics and Statistics College of Science King Faisal University)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.3, 2017 , pp. 677-688 More about this Journal
Abstract
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 $Erd{\acute{e}}yi-Kober$ fractional integral operators.
Keywords
fractional integral transform; classical orthogonal polynomials; generalized Wright function; generalized hypergeometric function;
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Times Cited By KSCI : 1  (Citation Analysis)
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