On discrete value distribution of certain compositions

In the paper, we obtain universality theorems and a lower estimate for the number of zeros for the composition F ζ (s, α; a, b) , where F is an operator in the space of analytic functions satisfying the Lipschitz type condition, and ζ (s, α; a, b) is a collection consisting of periodic and periodic...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 24; no. 1; pp. 34 - 42
Main Authors Garbaliauskiene, Virginija, Karaliunaite, Julija, Macaitiene, Renata
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 01.01.2019
Subjects
Analytic functions
Composition
Discrete mathematics
Mathematical analysis
Mathematical research
Mergelyan theorem
periodic Hurwitz zeta-function
periodic zeta-function
Rouche theorem
Theorems (Mathematics)
universality
Zeta functions
universality
periodic Hurwitz zeta-function
Rouche theorem
periodic zeta-function
Mergelyan theorem
Online AccessGet full text
ISSN1392-6292
1648-3510
DOI10.3846/mma.2019.003

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Summary:In the paper, we obtain universality theorems and a lower estimate for the number of zeros for the composition F ζ (s, α; a, b) , where F is an operator in the space of analytic functions satisfying the Lipschitz type condition, and ζ (s, α; a, b) is a collection consisting of periodic and periodic Hurwitz zeta-functions. First Published Online: 21 Nov 2018
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2019.003