Open AccessUnivalence criteria and quasiconformal extension of a general integral operator
Author(s) -
Erhan Deni̇z,
S. Kanas,
Halit Orhan
Publication year - 2022
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v74i1.1148
Subject(s) - extension (predicate logic) , operator (biology) , mathematics , analytic function , pure mathematics , mathematical analysis , computer science , biochemistry , chemistry , repressor , transcription factor , gene , programming language
UDC 517.5We give some sufficient conditions of analyticity and univalence for functions defined by an integral operator. Next, we refine the result to a quasiconformal extension criterion with the help of the Becker’s method. Further, new univalence criteria and the significant relationships with other results are given. A number of known univalence conditions would follow upon specializing the parameters involved in main results.