Generating Function Associated with the Product of Gegenbauer Polynomials


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Authors

  • N.U. Khan Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, India
  • M. Kamarujjama Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, India
  • T. Kashmin Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, India

Keywords:

Legendre, Gegenbauer, Tchebcheff, Ultraspherical polynomials, Appell's, Bessel's and Generalized hypergeometric functions, Pochhammer symbol

Abstract

This paper deals with general expansions which gives as special cases involving Legendre, Ultraspherical, and Tchebcheff polynomials, Appell, Bessel's and generalized hypergeometric functions of mathematical physics. The results extended Pathan and Kamarujjama expansion [7], Exton's generating function [5] and Feldheim's expansion [3]. A number of known and new generating functions are shown to follow as an application of the main result.

 

Author Biographies

N.U. Khan, Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, India

 

 

M. Kamarujjama, Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, India

 

 

T. Kashmin, Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, India

 

 

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Published

15-02-2018

How to Cite

N.U. Khan, M. Kamarujjama, & T. Kashmin. (2018). Generating Function Associated with the Product of Gegenbauer Polynomials. International Journal of Mathematics And Its Applications, 6(1 - C), 557–561. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1103

Issue

Vol. 6 No. 1 - C (2018)

Section

Research Article

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