A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the L-functions
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摘要
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.
论文关键词：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 and Mellin transformations
论文评审过程：Available online 1 November 2012.
论文官网地址：https://doi.org/10.1016/j.amc.2012.10.025
