Results 111 to 120 of about 5,487,190 (196)
Universality theorems for the periodic Hurwitz zeta-function. [PDF]
, 2018 The periodic Hurwitz zeta-function is a generalization of the classical Hurwitz zeta-function. It is defined by the Dirichlet series depending on a fixed parameter with periodic coefficients.
Mochov, Dmitrij,
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Generalized Cosecant Numbers and the Hurwitz Zeta Function
Integers, 2017 This announcement paper summarises recent development concerning the generalized cosecant numbers $c_{ρ,k}$, which represent the coefficients of the power series expansion for the important fundamental function $z^ρ/\sin^ρ z$. These coefficients are obtained for all, including complex, values of $ρ$ via the partition method for a power series expansion,
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On the zeros of generalized Hurwitz zeta functions
, 2014 In this note, we prove the existence of infinitely many zeros of certain generalized Hurwitz zeta functions in the domain of absolute convergence. This is a generalization of a classical problem of Davenport, Heilbronn and Cassels about the zeros of the ...
Chatterjee, T., Gun, S.
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A Mixture Model of Truncated Zeta Distributions with Applications to Scientific Collaboration Networks. [PDF]
Entropy (Basel), 2021 Jung H, Phoa FKH.
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Mean Value Properties of the Hurwitz Zeta-Function.
MATHEMATICA SCANDINAVICA, 1992 Let \(\zeta^* (s,x) = \zeta (s,x + 1)\), where \(\zeta (s,a)\) \((0 < a \leq 1)\) is the Hurwitz zeta-function. The author proves that \[ \int^ 1_ 0 \left | \zeta^* \Bigl( {1 \over 2} + it, x \Bigr) \right |^ 2 dx = \log \left( {t \over 2 \pi} \right) + \gamma - 2 \text{Re} {\zeta (1/2 + it) \over 1/2 + it} + O \left( {1 \over t} \right), \] where ...
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Remark on the Hurwitz zeta function [PDF]
Proceedings of the American Mathematical Society, 1951 openaire +2 more sources
Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.
Ahmed Ali Al-Gonah +1 more
doaj
Error bounds for the asymptotic expansion of the Hurwitz zeta function. [PDF]
Proc Math Phys Eng Sci, 2017 Nemes G.
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Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function
, 2018 The aim of the present paper is to investigate several third-order differential subordinations, differential superordination properties, and sandwich-type theorems of an integral operator Ws,bf(z) involving the Hurwitz–Lerch Zeta function.
Zhi-Ren Wang, Xiao-Yuan Wang, Lei Shi
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The Critical Values of Generalizations of the Hurwitz Zeta Function
Documenta Mathematica, 2010 We investigate a few types of generalizations of the Hurwitz zeta function, written Z(s,a) in this abstract, where s is a complex variable and
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