Results 101 to 110 of about 5,225,855 (149)
A Zeta Function for Juggling Sequences [PDF]
, 2012 We give a new generalization of the Riemann zeta function to the set of b-ball juggling sequences. We develop several properties of this zeta function, noting among other things that it is rational in b-s.
Klyve, Dominic +2 more
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New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function
, 2017 In view of the relationship with the Kr?tzel function, we derive a new series representation for the ?-generalized Hurwitz-Lerch Zeta function introduced by H.M. Srivastava [Appl. Math. Inf. Sci.
R.K. Raina, Min-Jie Luo
core +1 more source
Hurwitz Zeta Functions and Ramanujan's Identity for Odd Zeta Values
, 2022 Inspired by a famous formula of Ramanujan for odd zeta values, we prove an analogous formula involving the Hurwitz zeta function. We introduce a new integral kernel related to the Hurwitz zeta function, generalizing the integral kernel associated to ...
Chavan, Parth
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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 ...
openaire +3 more sources
Approximation of the hurwitz zeta-function by a finite sum. [PDF]
, 2016 Approximation of the Hurwitz zeta-function by a finite ...
Adomynas, Justinas,
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On Generalized Hurwitz-Lerch Zeta Distributions [PDF]
, 2009 In this paper, we introduce a function which is an extension to the general Hurwitz-Lerch Zeta function. Having defined the incomplete generalized beta type-2 and incomplete generalized gamma functions, some differentiation formulae are established for ...
Jain, Kumkum +2 more
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Remark on the Hurwitz zeta function [PDF]
Proceedings of the American Mathematical Society, 1951 openaire +2 more sources
On a Weighted Series of the Hurwitz Zeta Function
, 2023 In this note we prove that for all $a \in \mathbb{N}$, $x \in \mathbb{R}_+ \cup \{0\}$, and $s \in \mathbb{C}$ with $\Re(s) > a + 2$, the (alternating) weighted series of the Hurwitz zeta function, $$ \sum_{k \geq 1} (\pm 1)^k (k + x)^a\zeta(s,k + x), $$
Fox, Matthew, Karamchedu, Chaitanya
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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
doaj
Functional equation for the periodic hurwitz zeta-function. [PDF]
, 2016 Functional equation for the periodic Hurwitz zeta ...
Dabužinskas, Dominykas,
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