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E-ISSN: 2788-9327

P-ISSN: 1606-8947

Vol. 20 No. 2 (2016)

On some generating functions involving Jacobi, Laguerre and Bateman polynomials of one variable

  • Ahmed Ali Atash Department of Mathematics, Aden University, Yemen
  • Salem Selah Alqasemi Barahma Department of Mathematics, Aden University, Yemen

University of Aden Journal of Natural and Applied Sciences, Vol. 20 No. 2 (2016), 31-08-2016 Page 349-354

DOI:

https://doi.org/10.47372/uajnas.2016.n2.a09

Abstract

The aim of the present paper is to obtain some double generating functions involving Jacobi, Laguerre and Bateman’s polynomials of one variable by using the fractional derivative technique. A number of interesting special cases of our main results are also considered.
Keywords:
    Generating functions, Jacobi polynomials, Laguerre polynomials, Bateman’s polynomials, Multivariable extension of the Kampé de Fériet function, 2010MSC: 33C15, 33C20, 33C45, 33C65

How to Cite

Atash, A. A., & Barahma, S. S. A. (2016). On some generating functions involving Jacobi, Laguerre and Bateman polynomials of one variable. University of Aden Journal of Natural and Applied Sciences, 20(2), 349–354. https://doi.org/10.47372/uajnas.2016.n2.a09
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