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Article 2022 · 4 citations

Univalence Criteria and Quasiconformal Extension of a General Integral Operator

Deniz, E., Kanas, S., Orhan, H.

Abstract

We present sufficient conditions for the analyticity and univalence for functions defined by an integral operator. Then we refine the result to a quasiconformal extension criterion with the help of Becker's method. Further, new univalence criteria and significant relationships with other available results are given. A number of known univalence conditions follow if the parameters involved in the main results are specialized.

Keywords
DIFFERENTIAL-EQUATION SUFFICIENT CONDITIONS
WoS Categories
Mathematics, Applied Mathematics
Citation
Journal
UKRAINIAN MATHEMATICAL JOURNAL
Year
2022
Volume
74
Issue
1
Pages
27-39
ISSN
0041-5995
eISSN
1573-9376
DOI
10.1007/s11253-022-02044-y
WoS UID
WOS:000859587500003
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