A set of finite order differential equations for the Appell polynomials

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dc.contributor.author Özarslan, Mehmet Ali
dc.contributor.author Yılmaz, Banu
dc.date.accessioned 2017-10-23T08:16:23Z
dc.date.available 2017-10-23T08:16:23Z
dc.date.issued 2014
dc.identifier.issn 0377-0427(print)
dc.identifier.issn 1879-1778(online)
dc.identifier.uri http://dx.doi.org/10.1016/j.cam.2013.08.006
dc.identifier.uri http://hdl.handle.net/11129/3448
dc.description Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publication. en_US
dc.description.abstract Let { (x)}n=0 denote the set of Appell polynomials which includes, among others, Hermite, Bernoulli, Euler and Genocchi polynomials. In this paper, by introducing the generalized factorization method, for each kâ̂̂N, we determine the differential operator {Ln,k(x)}n=0 such that Ln,k(x)( (x))=λn, (x), where λn, =(n+k)!n!-k!. The special case k=1 reduces to the result obtained in [M.X. He, P.E. Ricci, Differential equation of Appell polynomials via the factorization method, J. Comput. Appl. Math. 139 (2002) 231-237]. The differential equations for the Hermite and Bernoulli polynomials are exhibited for the case k=2. © 2013 Elsevier B.V. All rights reserved. en_US
dc.language.iso eng en_US
dc.publisher Elsevier Science BV en_US
dc.relation.isversionof 10.1016/j.cam.2013.08.006 en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject EXTENSIONS, Hermite polynomials, FORMULAS, Differential equation, en_US
dc.subject LAGUERRE, Bernoulli polynomials, MATHEMATICS, APPLIED, en_US
dc.subject QUASI-MONOMIALITY, BERNOULLI, EULER POLYNOMIALS, en_US
dc.subject Appell polynomials, IDENTITIES, NUMBERS, Differential equations en_US
dc.title A set of finite order differential equations for the Appell polynomials en_US
dc.type article en_US
dc.relation.journal Journal Of Computational And Applied Mathematics en_US
dc.contributor.department Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics en_US
dc.identifier.volume 259 en_US
dc.identifier.startpage 108 en_US
dc.identifier.endpage 116 en_US


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