A Study of Generalized Laguerre Poly-Genocchi Polynomials

Nabiullah Khan, Talha Usman and Kottakkaran Sooppy Nisar
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Nabiullah Khan: Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, India
Talha Usman: Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, India
Kottakkaran Sooppy Nisar: Department of Mathematics, College of Arts and Science at Wadi Al-dawaser, Prince Sattam Bin Abdulaziz University, Wadi Al-dawaser 11991, Saudi Arabia

Mathematics, 2019, vol. 7, issue 3, 1-14

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.

Keywords: Laguerre polynomials; hermite polynomials; Laguerre poly-Genocchi polynomials; summation formulae; symmetric identities (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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