Univalence criteria and quasiconformal extension of a general integral operator

Keywords: Univalent function; Quasiconformal mapping; Univalence condition; Integral operator; Loewner chain.

Abstract

UDC 517.5

We 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.

 

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Published
24.01.2022
How to Cite
DenizE., KanasS., and OrhanH. “Univalence Criteria and Quasiconformal Extension of a General Integral Operator”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, no. 1, Jan. 2022, pp. 24 -35, doi:10.37863/umzh.v74i1.1148.
Section
Research articles