JOINT DISCRETE APPROXIMATION OF ANALYTIC FUNCTIONS BY HURWITZ ZETA-FUNCTIONS-Reference-Cited by-同舟云学术

JOINT DISCRETE APPROXIMATION OF ANALYTIC FUNCTIONS BY HURWITZ ZETA-FUNCTIONS

Published:2022-02-07 Issue:1 Volume:27 Page:88-100
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Balčiūnas Aidas¹^ORCID,Garbaliauskienė Virginija²^ORCID,Lukšienė Violeta¹^ORCID,Macaitienė Renata³^ORCID,Rimkevičienė Audronė³

Affiliation:

1. Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko g. 24, LT-03225 Vilnius, Lithuania

2. Institute of Regional Development, Šiauliai Academy, Vilnius University, P. Višinskio g. 25, LT-76351 Šiauliai, Lithuania

3. Faculty of Business and Technologies, Šiauliai State College, Aušros al. 40, LT-76241 Šiauliai, Lithuania

Abstract

Let H(D) be the space of analytic functions on the strip ... In this paper, it is proved that there exists a closed non-empty set ...such that every collection of the functions ... is approximated by discrete shifts .., of Hurwitz zeta-functions with arbitrary parameters ...

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference36 articles.

1. B. Bagchi. The Statistical Behaviuor and Universality Properties of the Riemann Zeta-Function and Other Allied Dirichlet Series. PhD Thesis, Indian Statistical Institute, Calcutta, 1981.

2. On the Hurwitz Zeta Functions with Algebraic Irrational Parameter

3. JOINT DISCRETE APPROXIMATION OF A PAIR OF ANALYTIC FUNCTIONS BY PERIODIC ZETA-FUNCTIONS

4. A discrete version of the Mishou theorem

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