Results 101 to 110 of about 2,151 (201)

Double Euler Sums on Hurwitz Zeta Functions

open access: yesRocky Mountain Journal of Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eie, Minking, Liaw, Wen-Chin
openaire   +2 more sources

A discrete limit theorem for the periodic Hurwitz zeta-function

open access: yesLietuvos Matematikos Rinkinys, 2015
In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
doaj   +1 more source

Some Relations of the Twisted q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β

open access: yesAbstract and Applied Analysis, 2012
Recently many mathematicians are working on Genocchi polynomials and Genocchi numbers. We define a new type of twisted q-Genocchi numbers and polynomials with weight 𝛼 and weak weight 𝛽 and give some interesting relations of the twisted q-Genocchi ...
J. Y. Kang, H. Y. Lee, N. S. Jung
doaj   +1 more source

A discrete limit theorem for the periodic Hurwitz zeta-function. II

open access: yesLietuvos Matematikos Rinkinys, 2016
In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
doaj   +1 more source

The Zeta and Related Functions: Recent Developments

open access: yesJournal of Advanced Engineering and Computation, 2019
The main object of this survey-cum-expository article is to present an overview of some recent developments involving the Riemann Zeta function ζ(s), the Hurwitz (or generalized) Zeta function ζ(s, a), and the Hurwitz-Lerch Zeta function Φ(z, s, a ...
H. M. Srivastava
doaj   +1 more source

Fermions, Skyrmions and the 3-sphere [PDF]

open access: yes, 2009
This paper investigates a background charge one Skyrme field chirally coupled to light fermions on the 3-sphere. The Dirac equation for the system commutes with a generalized angular momentum or grand spin.
Stephen W. Goatham   +3 more
core   +1 more source

Monotonicity Properties of the Hurwitz Zeta Function

open access: yes, 2005
Letbe the Hurwitz zeta function and letwhereα, β> 1 anda,b> 0 are real numbers. We prove: (i) The functionQis decreasing on (0, ∞) iffαa−βb≥ max(a−b, 0). (ii)Qis increasing on (0, ∞) iffαa−βb≤ min(a−b, 0).
Horst Alzer
core   +1 more source

Universality theorems for the periodic Hurwitz zeta-function.

open access: yes, 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,
core  

Generalized Cosecant Numbers and the Hurwitz Zeta Function

open access: yesIntegers, 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

Approximation of the hurwitz zeta-function by a finite sum.

open access: yes, 2016
Approximation of the Hurwitz zeta-function by a finite ...
Adomynas, Justinas,
core  

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