SOME GENERALIZATIONS ON THE UNIVALENCE OF AN INTEGRAL OPERATOR AND QUASICONFORMAL EXTENSIONS

Caglar M., ORHAN H.

MISKOLC MATHEMATICAL NOTES, cilt.14, sa.1, ss.49-62, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.18514/mmn.2013.535
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.49-62
  • Anahtar Kelimeler: Loewner chain, univalence criterion, integral operator, quasiconformal extension, DIFFERENTIAL EQUATION, CRITERIA
  • Atatürk Üniversitesi Adresli: Evet

Özet

By using the method of Loewner chains, we establish some sufficient conditions for the analyticity and univalency of functions defined by an integral operator. Also, we refine the result to a quasiconformal extension criterion with the help of Beckers's method.