Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials

dc.contributor.authorÖzarslan, Mehmet Ali
dc.date.accessioned2017-10-23T08:17:21Z
dc.date.available2017-10-23T08:17:21Z
dc.date.issued2013
dc.departmentEastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematicsen_US
dc.descriptionThe file in this item is the publisher version (published version) of the article.en_US
dc.description.abstractIn 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.en_US
dc.identifier.doi10.1186/1687-1847-2013-116
dc.identifier.endpage13en_US
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84893928221
dc.identifier.scopusqualityN/A
dc.identifier.startpage1en_US
dc.identifier.urihttp://dx.doi.org/10.1186/1687-1847-2013-116
dc.identifier.urihttps://hdl.handle.net/11129/3450
dc.identifier.volume2013en_US
dc.identifier.wosWOS:000319755400001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherSpringer International Publishing AGen_US
dc.relation.ispartofAdvances in Difference Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHermite-based Apostol-Genocchi polynomials, Difference and Functional Equationsen_US
dc.subjectgeneralized sum of alternative integer powers, Hermite-based Apostol-Bernoulli polynomialsen_US
dc.subjectMathematics, SYMMETRY, MATHEMATICS, EXTENSIONS, GENERATING-FUNCTIONSen_US
dc.subjectHIGHER-ORDER, FORMULAS, MATHEMATICS, APPLIED,en_US
dc.subjectGeneralized sum of alternative integer powers, Generalized sum of integer powers, Usage, Gaussian processes, Euler anglesen_US
dc.titleHermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomialsen_US
dc.typeArticle

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