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Başlık: A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the L-functions
Yazarlar: 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
Anahtar kelimeler: 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
Yayın Tarihi: 15-Ara-2012
Yayıncı: Elsevier
Atıf: 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.
Özet: 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
Koleksiyonlarda Görünür:Scopus
Web of Science

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