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Some approximations with hurwitz zeta function

open access: yes, 2020
1st Mediterranean International Conference of Pure and Applied Mathematics and Related Areas (MICOPAM) -- OCT 26-29, 2018 -- Akdeniz Univ, Antalya, TURKEYIn this paper, we focus on some approximations with Hurwitz zeta function.
Aygüneş, Aykut Ahmet
core   +1 more source

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

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

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

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 Hurwitz zeta function and Lommel functions [PDF]

open access: yesInternational Journal of Number Theory, 2020
We obtain a new proof of Hurwitz’s formula for the Hurwitz zeta function [Formula: see text] beginning with Hermite’s formula. The aim is to reveal a nice connection between [Formula: see text] and a special case of the Lommel function [Formula: see text].
Dixit, Atul, Kumar, Rahul
openaire   +2 more sources

New inequalities for the Hurwitz zeta function

open access: yes, 2008
We establish various new inequalities for the Hurwitz zeta function.
Batir, Necdet
core   +1 more source

Is Catalan’s Constant Rational?

open access: yesMathematics, 2022
This paper employs a contour integral method to derive and evaluate the infinite sum of the Euler polynomial expressed in terms of the Hurwitz Zeta function. We provide formulae for several classes of infinite sums of the Euler polynomial in terms of the
Robert Reynolds, Allan Stauffer
doaj   +1 more source

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

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

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