Results 31 to 40 of about 5,487,207 (196)

A weighted version of the Mishou theorem

open access: yesMathematical Modelling and Analysis, 2021
In 2007, H. Mishou obtained a joint universality theorem for the Riemann and Hurwitz zeta-functions ζ(s) and ζ(s,α) with transcendental parameter α on the approximation of a pair of analytic functions by shifts (ζ(s+iτ),ζ(s+iτ,α)), τ ∈R.
Antanas Laurinčikas   +2 more
doaj   +1 more source

Some q-Hypergeometric representations of the multiple Hurwitz zeta function [PDF]

open access: yes, 2017
In this paper, The main object to give some new representations of the q-analogue of the multiple Hurwitz zeta function are ...
B.F.Mohsen, Fadhle   +3 more
core   +3 more sources

Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function

open access: yesMathematics, 2021
Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics.
Firas Ghanim   +3 more
doaj   +1 more source

A Modification of the Mixed Joint Universality Theorem for a Class of Zeta Functions

open access: yesMathematics, 2022
The property of zeta functions on mixed joint universality in the Voronin’s sense states that any two holomorphic functions can be approximated simultaneously with an accuracy of ε>0 by suitable vertical shifts of the pair consisting the Riemann and ...
Roma Kačinskaitė   +1 more
doaj   +1 more source

Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications

open access: yesAbstract and Applied Analysis, 2008
The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q ...
Hacer Ozden   +2 more
doaj   +1 more source

Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials

open access: yesAdvances in Difference Equations, 2020
The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Alejandro Urieles   +3 more
doaj   +1 more source

On extended Hurwitz–Lerch zeta function

open access: yesJournal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luo, Min-Jie   +2 more
openaire   +2 more sources

Zeros of the Hurwitz zeta function in the interval (0,1) [PDF]

open access: yes, 2011
We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\zeta(s,w)$ has no zeros and is actually negative. As a corollary we derive that it is nonzero for $w\geq 1$ and $s\in(0,1)$ and, as a particular instance, the known
Schipani, D
core   +2 more sources

Analytic Continuation of the Hurwitz Transform

open access: yesMathematics
An integral over the unit interval of the product of a given function and the Hurwitz zeta function is known as the Hurwitz transform of the function. We give sufficient conditions on the function for the Hurwitz transform to continue meromorphically to ...
Namhoon Kim
doaj   +1 more source

Joint universality of some zeta-functions. I

open access: yesLietuvos Matematikos Rinkinys, 2010
In the paper, the joint universality for the Riemann zeta-function and a collection of periodic Hurwitz zeta functions is discussed and basic results are given.
Santa Račkauskienė   +1 more
doaj   +1 more source

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