Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function
By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for the generalized Hurwitz-Lerch zeta function obta...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/975615 |
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| author | S. Gaboury A. Bayad |
| author_facet | S. Gaboury A. Bayad |
| author_sort | S. Gaboury |
| collection | DOAJ |
| description | By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well
as a new expansion formula for the generalized Hurwitz-Lerch zeta function
obtained recently by Gaboury and Bayad , in this paper we present some series representations for these polynomials at rational arguments. These results
provide extensions of those obtained by Apostol (1951) and by Srivastava (2000). |
| format | Article |
| id | doaj-art-8fca44810e91459d9cf2658f655c4257 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8fca44810e91459d9cf2658f655c42572025-02-03T01:10:20ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/975615975615Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta FunctionS. Gaboury0A. Bayad1Department of Mathematics and Computer Science, University of Quebec at Chicoutimi, Chicoutimi, QC, G7H 2B1, CanadaDépartement de Mathématiques, Université d’Évry Val-d’Essonne, 23 Boulevard de France, 91037 Évry Cedex, FranceBy making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for the generalized Hurwitz-Lerch zeta function obtained recently by Gaboury and Bayad , in this paper we present some series representations for these polynomials at rational arguments. These results provide extensions of those obtained by Apostol (1951) and by Srivastava (2000).http://dx.doi.org/10.1155/2013/975615 |
| spellingShingle | S. Gaboury A. Bayad Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function Abstract and Applied Analysis |
| title | Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function |
| title_full | Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function |
| title_fullStr | Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function |
| title_full_unstemmed | Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function |
| title_short | Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function |
| title_sort | series representations at special values of generalized hurwitz lerch zeta function |
| url | http://dx.doi.org/10.1155/2013/975615 |
| work_keys_str_mv | AT sgaboury seriesrepresentationsatspecialvaluesofgeneralizedhurwitzlerchzetafunction AT abayad seriesrepresentationsatspecialvaluesofgeneralizedhurwitzlerchzetafunction |