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http://hdl.handle.net/11452/24885
Title: | Generating functions of the unified representation of the Bernoulli, Euler and Genocchi polynomials of higher order |
Authors: | Simos, Theodore E. Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. Özden, Hacer AAH-5090-2021 23973633900 |
Keywords: | Mathematics Bernoulli numbers of higher order Bernoulli polynomials of higher order Euler numbers of higher order Euler polynomials of higher order Genocchi numbers of higher order Genocchi polynomials of higher order Apostol-bernoulli Numbers Zeta Identities Extension |
Issue Date: | 2011 |
Publisher: | American Institute of Physics |
Citation: | Özden, H. (2011). ''Generating functions of the unified representation of the Bernoulli, Euler and Genocchi polynomials of higher order''. ed. T. E. Simos. Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Mathematics, 1389, 349-352. |
Abstract: | The aim of this paper is to define the generating functions of the Bernoulli, Euler and Genocchi polynomials of higher order. By using these generating functions, we derive some identities and relations on these polynomials. Our results generalize the classical Bernoulli, Euler, Genocchi polynomials and also Apostol-Bernoulli, Apostol-Euler and Apostol Genocchi polynomials. |
URI: | https://doi.org/10.1063/1.3636736 https://aip.scitation.org/doi/10.1063/1.3636736 http://hdl.handle.net/11452/24885 |
ISSN: | 0094-243X |
Appears in Collections: | Scopus Web of Science |
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