A new generalization of Apostol type Hermite–Genocchi polynomials and its applications

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Araci S., Khan W.A., Acikgoz M., ึzel C., Kumam P.

Publisher: SpringerOpen

Publication year: 2016

Journal: SpringerPlus (2193-1801)

Volume number: 5

Issue number: 1

ISSN: 2193-1801

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84976388606&doi=10.1186%2fs40064-016-2357-4&partnerID=40&md5=6cd7c8c0e8d4d0aad2371ba06c227ace

Languages: English-Great Britain (EN-GB)

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Abstract

By using the modified Milne-Thomson’s polynomial given in Araci et al. (Appl Math Inf Sci 8(6):2803–2808, 2014), we introduce a new concept of the Apostol Hermite–Genocchi polynomials. We also perform a further investigation for aforementioned polynomial and derive some implicit summation formulae and general symmetric identities arising from different analytical means and generating functions method. The results obtained here are an extension of Hermite–Bernoulli polynomials (Pathan and Khan in Mediterr J Math 12:679–695, 2015a) and Hermite–Euler polynomials (Pathan and Khan in Mediterr J Math 2015b, doi:10.1007/s00009-015-0551-1) to Apostol type Hermite–Genocchi polynomials defined in this paper. © 2016, The Author(s).

Keywords

Hermite–Genocchi polynomials