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http://hdl.handle.net/11452/24454| Title: | A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the L-functions |
| Authors: | Srivastava, Hari M. Şimşek, Yılmaz Uludaǧ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü. 0000-0002-0700-5774 Özden, Hacer Cangül, İsmail Naci J-3505-2017 AAH-5090-2021 23973633900 57189022403 |
| Keywords: | Mathematics Bernoulli numbers and bernoulli polynomials Euler numbers and euler polynomials Genocchi numbers and genocchi polynomials Riemann and hurwitz (or generalized) zeta functions Hurwitz-lerch, lerch and lipschitz-lerch zeta functions Polylogarithm function Partial zeta type functions Dirichlet characters, recurrence relations Mellin transformations Interpolation function Generating-functions Euler polynomials Bernoulli Numbers (H, series, q)-extension Identities Extension Functions Polynomials Bernoulli polynomials Euler numbers Polylogarithm functions Recurrence relations Zeta function Number theory |
| Issue Date: | 15-Dec-2012 |
| Publisher: | Elsevier |
| Citation: | Srivastava, H. M. vd. (2012). "A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the L-functions". Applied Mathematics and Computation, 219(8), 3903-3913. |
| Abstract: | The aim of this paper is to construct a unified family of meromorphic functions, which is related to many known functions such as a unified family of partial zeta type functions, a unified family of L-functions, and so on. We investigate and derive many properties of this family of meromorphic functions. Moreover, we compute the residues of this family of meromorphic functions at their poles. We also give some applications and remarks involving this family of meromorphic functions. |
| URI: | https://doi.org/10.1016/j.amc.2012.10.025 https://www.sciencedirect.com/science/article/pii/S0096300312010260 http://hdl.handle.net/11452/24454 |
| ISSN: | 0096-3003 1873-5649 |
| Appears in Collections: | Scopus Web of Science |
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