Double Generating Functions for Jacobi and Laguerre Polynomials of Several Variables


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Authors

  • Ahmed Ali Atash Department of Mathematics, Aden University, Yemen

Keywords:

Generating functions, Jacobi polynomials, Laguerre polynomials, Sister Celine's polynomials, Multivariable extension of the Kamp\'{e} de F\'{e}riet function

Abstract

The aim of the present paper is to obtain some double generating functions for Jacobi and Laguerre polynomials of several variables. Some deductions from these results lead us to obtain a number of double generating functions for Sister Celine's polynomials of two variables. A number of interesting special cases of our main results are also considered.

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Published

10-12-2015

How to Cite

Ahmed Ali Atash. (2015). Double Generating Functions for Jacobi and Laguerre Polynomials of Several Variables. International Journal of Mathematics And Its Applications, 3(4 - B), 23–28. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/493

Issue

Vol. 3 No. 4 - B (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.