Bounded Harmonic Mappings Related to Starlike Functions

Varol D., Aydoğan S. M., Polatoglu Y.

3rd International Conference on Mathematical Sciences, Kuala-Lumpur, Malezya, 17 - 19 Aralık 2013, ss.644-649 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1063/1.4882553
  • Basıldığı Şehir: Kuala-Lumpur
  • Basıldığı Ülke: Malezya
  • Sayfa Sayıları: ss.644-649
  • İstanbul Kültür Üniversitesi Adresli: Hayır

Özet

Let f = h(z) + <(g(z))over bar> be a sense-preserving harmonic mapping in the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar 1/b(1) g'(z)/h' (z) - M vertical bar < M, M > 1/2, then f is called bounded harmonic mapping. The main purpose of this paper is to give some properties of the class of bounded harmonic mapping.