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

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dc.contributor.author	Özarslan, Mehmet Ali
dc.date.accessioned	2017-10-23T08:17:21Z
dc.date.available	2017-10-23T08:17:21Z
dc.date.issued	2013
dc.identifier.uri	http://dx.doi.org/10.1186/1687-1847-2013-116
dc.identifier.uri	http://hdl.handle.net/11129/3450
dc.description	The file in this item is the publisher version (published version) of the article.	en_US
dc.description.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.	en_US
dc.language.iso	eng	en_US
dc.publisher	Springer International Publishing AG	en_US
dc.relation.isversionof	10.1186/1687-1847-2013-116	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.subject	Hermite-based Apostol-Genocchi polynomials, Difference and Functional Equations	en_US
dc.subject	generalized sum of alternative integer powers, Hermite-based Apostol-Bernoulli polynomials	en_US
dc.subject	Mathematics, SYMMETRY, MATHEMATICS, EXTENSIONS, GENERATING-FUNCTIONS	en_US
dc.subject	HIGHER-ORDER, FORMULAS, MATHEMATICS, APPLIED,	en_US
dc.subject	Generalized sum of alternative integer powers, Generalized sum of integer powers, Usage, Gaussian processes, Euler angles	en_US
dc.title	Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials	en_US
dc.type	article	en_US
dc.relation.journal	Advances in Difference Equations	en_US
dc.contributor.department	Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics	en_US
dc.identifier.volume	2013	en_US
dc.identifier.issue	1	en_US
dc.identifier.startpage	1	en_US
dc.identifier.endpage	13	en_US