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Title

Some new classes of generalized Hermite-Based Apostol-Euler and Apostol-Genocchi polynomials

Authors

Year of publication

2015

Published in

Fasciculi Mathematici

Journal year: 2015 | Journal number: nr 55

Article type

scientific article

Publication language

english

Keywords
EN
  • Hermite polynomials
  • Apostol-Hermite-Bernoulli polynomials
  • Apostol-Hermite-Euler polynomials
  • Apostol-Hermite-Genocchi polynomials
  • summation formulae
Abstract

EN In this paper, we introduce a new class of generalized Apostol-Hermite-Euler polynomials and Apostol-Hermi-te-Genocchi polynomials and derive some implicit summation formulae by applying the generating functions. These results extend some known summations and identities of generalized Hermite-Euler polynomials studied by Dattoli et al, Kurt and Pathan.

Pages (from - to)

153 - 170

DOI

10.1515/fascmath-2015-0020

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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public

Ministry points / journal

10

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