Preprint Article Version 1 This version is not peer-reviewed

A New Class of Degenerate Hermite Poly-Genocchi Polynomials

Version 1 : Received: 19 July 2018 / Approved: 19 July 2018 / Online: 19 July 2018 (13:51:44 CEST)

How to cite: Khan, W.A.; Nisar, K. A New Class of Degenerate Hermite Poly-Genocchi Polynomials. Preprints 2018, 2018070361 (doi: 10.20944/preprints201807.0361.v1). Khan, W.A.; Nisar, K. A New Class of Degenerate Hermite Poly-Genocchi Polynomials. Preprints 2018, 2018070361 (doi: 10.20944/preprints201807.0361.v1).

Abstract

In this article, authors introduce a new class of degenerate Hermite poly-Genocchi polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. Some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions. These results extend some known summations and identities of degenerate Hermite poly-Bernoulli numbers and polynomials studied by Khan [8].

Subject Areas

Hermite polynomials, degenerate Hermite poly-Genocchi polynomials, summation formulae, symmetric identities

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