Univalence Criteria and Quasiconformal Extension of a General Integral Operator

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.

Dergi

UKRAINIAN MATHEMATICAL JOURNAL

Yıl

2022

Cilt

74

Sayı

1

Sayfa

27-39

ISSN

0041-5995

eISSN

1573-9376

DOI

10.1007/s11253-022-02044-y

WoS UID

WOS:000859587500003

Yayını aç (DOI)