Univalence Criteria and Quasiconformal Extension of a General Integral Operator

Deniz E., Kanas S., Orhan H.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.74, sa.1, ss.27-39, 2022 (SCI-Expanded) identifier identifier

  • 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.