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Some composition formulas of Jacobi type orthogonal polynomials

Saiful R. Mondal|Pradeep Malik
대한수학회 (The Korean Mathematical Society)|2017.07|대한수학회논문집 (Communications of the KMS)|제32권 제3호|pp. 677-688

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참고문헌

키워드

classical orthogonal polynomialsfractional integral transformgeneralized Wright functiongeneralized hypergeometric function
주제분류수학

초록

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.

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\'eyi-Kober fractional integral operators.

참고문헌 (34)

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