A General Family of Generating Relations Involving Multivariable Hypergeometric Polynomials


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Authors

  • Mohd. Idris Qureshi Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia, New Delhi, India
  • Deepak Kumar Kabra Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Sangam University, Rajasthan, India
  • Kaleem A. Quraishi Mathematics Section, Mewat Engineering College (Waqf), Palla, Nuh, Mewat, Haryana, India

Keywords:

Generalized Rice polynomials and classical Jacobi polynomials, Orthogonal polynomials, Srivastava-Daoust multiple hypergeometric functions, Bounded multiple sequences, Generating functions and generating relations

Abstract

The aim of this paper is to derive two general theorems on generating relations for a certain sequence of functions. The generating functions for multivariable generalized hypergeometric polynomials are shown here as special cases of a general class of generating relations. A number of results associated with Jacobi, Khandekar polynomials of several variables and other results of multiple Gaussian hypergeometric functions scattered in the literature of special functions follow as applications of main results.

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Published

15-06-2015

How to Cite

Mohd. Idris Qureshi, Deepak Kumar Kabra, & Kaleem A. Quraishi. (2015). A General Family of Generating Relations Involving Multivariable Hypergeometric Polynomials. International Journal of Mathematics And Its Applications, 3(2), 197–205. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/438

Issue

Vol. 3 No. 2 (2015)

Section

Research Article

License

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