A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the L-functions
Date
2012-12-15
Authors
Srivastava, Hari M.
Şimşek, Yılmaz
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
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.
Description
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
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.