Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2016.09.18
  • Accepted : 2016.12.09
  • Published : 2017.07.31
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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.

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References

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