التفاصيل البيبلوغرافية
| العنوان: |
Hypergeometric type extended bivariate zeta function. |
| المؤلفون: |
Pathan, M. A., Shahwan, Mohannad J. S., Bin-Saad, Maged G. |
| المصدر: |
Tamkang Journal of Mathematics; 2024, Vol. 55 Issue 1, p79-95, 17p |
| مصطلحات موضوعية: |
BETA functions, ZETA functions, ANALYTIC number theory, H-functions, HYPERGEOMETRIC functions, TRANSCENDENTAL functions |
| مستخلص: |
Based on the generalized extended beta function, we shall introduce and study a new hypergeometric-type extended zeta function together with related integral representations, differential relations, finite sums, and series expansions. Also, we present a relationship between the extended zeta function and the Laguerre polynomials. Our hypergeometric type extended zeta function involves several known zeta functions including the Riemann, Hurwitz, Hurwitz-Lerch, and Barnes zeta functions as particular cases. [ABSTRACT FROM AUTHOR] |
|
Copyright of Tamkang Journal of Mathematics is the property of Department of Mathematics, Tamkang University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
Full Text Finder