Article
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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. https://doi.org/10.20944/preprints201807.0361.v1 Khan, W. A.; Nisar, K. A New Class of Degenerate Hermite Poly-Genocchi Polynomials. Preprints 2018, 2018070361. https://doi.org/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].
Keywords
Hermite polynomials, degenerate Hermite poly-Genocchi polynomials, summation formulae, symmetric identities
Subject
Computer Science and Mathematics, Analysis
Copyright: 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.
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