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Please use this identifier to cite or link to this item:
http://hdl.handle.net/11129/3448
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| Title: | A set of finite order differential equations for the Appell polynomials |
| Authors: | Özarslan, Mehmet Ali
Yılmaz, Banu
Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics |
| Keywords: | EXTENSIONS, Hermite polynomials, FORMULAS, Differential equation,
LAGUERRE, Bernoulli polynomials, MATHEMATICS, APPLIED,
QUASI-MONOMIALITY, BERNOULLI, EULER POLYNOMIALS,
Appell polynomials, IDENTITIES, NUMBERS, Differential equations |
| Issue Date: | 2014 |
| Publisher: | Elsevier Science BV |
| 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. |
| 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. |
| URI: | http://dx.doi.org/10.1016/j.cam.2013.08.006
http://hdl.handle.net/11129/3448 |
| ISSN: | 0377-0427(print)
1879-1778(online) |
| Appears in Collections: | MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics
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