Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials
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Publisher
Springer International Publishing AG
Access Rights
info:eu-repo/semantics/openAccess
Abstract
In this paper, we introduce a unified family of Hermite-based Apostol-Bernoulli, Euler and Genocchi polynomials. We obtain some symmetry identities between these polynomials and the generalized sum of integer powers. We give explicit closed-form formulae for this unified family. Furthermore, we prove a finite series relation between this unification and 3d-Hermite polynomials.
Description
The file in this item is the publisher version (published version) of the article.
Keywords
Hermite-based Apostol-Genocchi polynomials, Difference and Functional Equations, generalized sum of alternative integer powers, Hermite-based Apostol-Bernoulli polynomials, Mathematics, SYMMETRY, MATHEMATICS, EXTENSIONS, GENERATING-FUNCTIONS, HIGHER-ORDER, FORMULAS, MATHEMATICS, APPLIED,, Generalized sum of alternative integer powers, Generalized sum of integer powers, Usage, Gaussian processes, Euler angles
Journal or Series
Advances in Difference Equations
WoS Q Value
Scopus Q Value
Volume
2013
Issue
1
