대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제32권3호
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  • Pages.677-688
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  • 2017
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2016.09.18
  • 심사 : 2016.12.09
  • 발행 : 2017.07.31
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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 $Erd{\acute{e}}yi-Kober$ fractional integral operators.

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참고문헌

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