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| Titel: |
Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch Zeta functions |
| Auteur: |
Garg, Mridula Jain, Kumkum Srivastava, H. M. |
| Verschenen in: |
Integral transforms and special functions |
| Paginering: | Jaargang 17 (2006) nr. 11 pagina's 803-815 |
| Jaar: |
2006-11-01 |
| Inhoud: |
The main object of this paper is to further investigate the generalized Apostol-Bernoulli polynomials of higher order, which were introduced and studied recently by Luo and Srivastava [2005, Journal of Mathematical Analysis and Applications, 308, 290-302; 2006, Computers and Mathematics with Applications, 51, 631-642]. Here, we first derive an explicit representation of these generalized Apostol-Bernoulli polynomials of higher order in terms of a generalization of the Hurwitz-Lerch Zeta function and then proceed to establish a functional relationship between the generalized Apostol-Bernoulli polynomials of rational arguments and the Hurwitz (or generalized) Zeta function. Our results would provide extensions of those given earlier by (for example) Apostol [1951, Pacific Journal of Mathematics, 1, 161-167] and Srivastava [2000, Mathematical Proceedings of the Cambridge Philosophical Society, 129, 77-84]. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 16 van 19 gevonden artikelen
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