Results 121 to 130 of about 2,152 (201)
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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Value distribution of Lerch and periodic Hurwitz Zeta-functions. [PDF]
, 2018 In this dissertation the Lerch zeta-function, its derivative and the periodic Hurwitz zeta-function are studied. These functions are generalizations of the famous Riemann zeta-function.
Tamošiūnas, Rokas,
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On the Hurwitz zeta function of imaginary second argument [PDF]
Journal of Mathematical Physics, 2011 In this work, we exploit Jonquière's formula relating the Hurwitz zeta function to a linear combination of polylogarithmic functions in order to evaluate the real and imaginary part of ζH(s, ia) and its first derivative with respect to the first argument s.
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On p-adic Hurwitz-type Euler zeta functions [PDF]
, 2012 The definition for the p-adic Hurwitz-type Euler zeta functions has been given by using the fermionic p-adic integral on Zp. By computing the values of this kind of p-adic zeta function at negative integers, we show that it interpolates the Euler ...
Hu, Su, Kim, Min-Soo
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Representaciones hipergeométricas de la función zeta de Hurwitz [PDF]
, 2015 In this paper new manners of representing the Hurwitz zeta function in ordinary hypergeometric series is presented.En este artículo se presentan nuevas formas de representar la función zeta de Hurwitz en series hipergeométricas ...
Recio Avilés, Raúl +2 more
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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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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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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
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Remark on the Hurwitz zeta function [PDF]
Proceedings of the American Mathematical Society, 1951 openaire +2 more sources
Results about fractional derivatives of Zeta functions [PDF]
, 2017 Perhaps the most important function in all mathematics is the Riemann Zeta function. For almost 150 years Mathematicians have tried to understand the behavior of the function’s complex zeros.
Farr, Ricky E. +1 more
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