Use this url to cite publication: https://hdl.handle.net/20.500.14172/24502
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An inequality for the modulus of the ratio of two complex gamma functions
Type of publication
Straipsnis Web of Science ir Scopus duomenų bazėje / Article in Web of Science and Scopus database (S1)
Type of document
type::text::journal::journal article::research article
Author(s)
Belovas, Igoris | Vilniaus universitetas | Vilniaus Gedimino technikos universitetas | |
LT |
Title
An inequality for the modulus of the ratio of two complex gamma functions
Publisher
Miskolc : University of Miskolc
Date Issued
| Date Issued | Volume | Issue | Start Page | End Page |
|---|---|---|---|---|
2019-06-30 | vol. 20 | no. 1 | 115 | 130 |
Is part of
Miskolc mathematical notes
Field of Science
Abstract
The Euler gamma function is closely connected with the theory of zeta-functions. We prove a new inequality for the modulus of the ratio of two complex gamma functions Γ(s) /Γ(2 − s), arising in problems of the size of Selberg zeta-functions at places symmetric with respect to the critical line. This inequality, used together with technics of estimation, allows us in a different way re-prove and extend the result of R. Garunkštis and A. Grigutis for the modified Selberg zeta-function.
ISSN (of the container)
1787-2405
1787-2413
WOS
000471249600010
Scopus
2-s2.0-85067109324
eLABa
33446374
Coverage Spatial
Vengrija / Hungary (HU)
Language
Anglų / English (en)
Bibliographic Details
5
Date Reporting
2019