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http://hdl.handle.net/11129/3450
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| Title: | Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials |
| Authors: | Özarslan, Mehmet Ali
Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics |
| 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 |
| Issue Date: | 2013 |
| Publisher: | Springer International Publishing AG |
| 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. |
| URI: | http://dx.doi.org/10.1186/1687-1847-2013-116
http://hdl.handle.net/11129/3450 |
| Appears in Collections: | MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics
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