Results 91 to 100 of about 849 (200)

Integral representations of the hurwitz zeta-function.

, 2017
Integral representations of the Hurwitz zeta ...
Požaricka, Lilija,
core  

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

Lietuvos 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

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

Abstract 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

Lietuvos 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

The Zeta and Related Functions: Recent Developments

Journal 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

Discrete universality theorems for the Hurwitz zeta-function

Journal of Approximation Theory, 2014
Denote by \(\zeta(s, \alpha)\) the Hurwitz zeta function where as usual \(s = \sigma + it \in\mathbb{C}\) and \(0 < \alpha\leq 1\). Let \(D := \{s\in \mathbb{C}: \frac12 < \sigma < 1\}\) and denote by \(H(D)\) the space of analytic functions on \(D\) endowed with the topology of uniform convergence.
Eugenijus Buivydas, Antanas Laurincikas, Renata Macaitiene, Jovita Rasyte   +3 more
openaire   +2 more sources

Fermions, Skyrmions and the 3-sphere [PDF]

, 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, Steffen Krusch, Goatham, S.W., Krusch, Steffen   +3 more
core   +1 more source

Monotonicity Properties of the Hurwitz Zeta Function

, 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.

, 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  

Remainder Padé Approximants for the Hurwitz Zeta Function [PDF]

Results in Mathematics, 2019
Following our earlier research, we use the method introduced by the author in \cite{prevost1996} named Remainder Padé Approximant in \cite{rivoalprevost}, to construct approximations of the Hurwitz zeta function. We prove that these approximations are convergent on the positive real line. Applications to new rational approximations of $ζ(2)$ and $ζ(3)$
openaire   +2 more sources