A New Generalization of Gegenbauer Polynomials

Authors

  • Umar Muhammad Abubakar Department of Mathematics, Faculty of Computing and Mathematical Sciences, Kano University of Science and Technology, Wudil P.M.B.: 3244 Kano, Kano State

DOI:

https://doi.org/10.26713/jims.v13i2.1635

Keywords:

MacDonaldfunction, Gegenbauer polynomials, Gamma function, Hermit-Kamp de Friet polynomials, Generating function, Mellin transform

Abstract

In this work, the author introduces new generalization of Gegenbauer polynomials of one and two variables by considering new extended gamma function defined by MacDonald function. Certain properties of this new generalized Gegenbauer polynomials like integral formulas, Mellin transform, recurrence relationsand generating function are presented and investigated.

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References

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Published

2021-08-10
CITATION

How to Cite

Abubakar, U. M. (2021). A New Generalization of Gegenbauer Polynomials. Journal of Informatics and Mathematical Sciences, 13(2), 119–128. https://doi.org/10.26713/jims.v13i2.1635

Issue

Vol. 13 No. 2 (2021)

Section

Research Articles

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