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Mathematics 2019, 7(3), 219; https://doi.org/10.3390/math7030219

A Study of Generalized Laguerre Poly-Genocchi Polynomials

1
Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, India
2
Department of Mathematics, College of Arts and Science at Wadi Al-dawaser, Prince Sattam Bin Abdulaziz University, Wadi Al-dawaser 11991, Saudi Arabia
*
Author to whom correspondence should be addressed.
Received: 25 December 2018 / Revised: 2 February 2019 / Accepted: 22 February 2019 / Published: 26 February 2019
(This article belongs to the Special Issue Special Functions and Applications)
Full-Text   |   PDF [252 KB, uploaded 26 February 2019]   |   Review Reports

Abstract

A variety of polynomials, their extensions, and variants, have been extensively investigated, mainly due to their potential applications in diverse research areas. Motivated by their importance and potential for applications in a variety of research fields, numerous polynomials and their extensions have recently been introduced and investigated. In this paper, we introduce generalized Laguerre poly-Genocchi polynomials and investigate some of their properties and identities, which were found to extend some known results. Among them, an implicit summation formula and addition-symmetry identities for generalized Laguerre poly-Genocchi polynomials are derived. The results presented here, being very general, are pointed out to reduce to yield formulas and identities for relatively simple polynomials and numbers. View Full-Text
Keywords: Laguerre polynomials; hermite polynomials; Laguerre poly-Genocchi polynomials; summation formulae; symmetric identities Laguerre polynomials; hermite polynomials; Laguerre poly-Genocchi polynomials; summation formulae; symmetric identities
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Khan, N.; Usman, T.; Nisar, K.S. A Study of Generalized Laguerre Poly-Genocchi Polynomials. Mathematics 2019, 7, 219.

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