Results 111 to 120 of about 850 (200)
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
core +1 more source
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
core
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,
openaire +5 more sources
A Mixture Model of Truncated Zeta Distributions with Applications to Scientific Collaboration Networks. [PDF]
Entropy (Basel), 2021 Jung H, Phoa FKH.
europepmc +1 more source
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
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
Remark on the Hurwitz zeta function [PDF]
Proceedings of the American Mathematical Society, 1951 openaire +2 more sources
Heavy Tails and the Shape of Modified Numerals. [PDF]
Cogn Sci, 2022 Carcassi F, Szymanik J.
europepmc +1 more source
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
core
MathematicsThe main purpose of this article is to construct a new class of multivariate Legendre-Hermite-Apostol type Frobenius-Euler polynomials. A number of significant analytical characterizations of these polynomials using various generating function techniques
Mumtaz Riyasat +3 more
doaj +1 more source