Univalence Criteria and Quasiconformal Extension of a General Integral Operator
UKRAINIAN MATHEMATICAL JOURNAL, cilt.74, sa.1, ss.27-39, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 74 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.1007/s11253-022-02044-y
- Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.27-39
- Atatürk Üniversitesi Adresli: Evet
Özet
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.