QUASICONFORMAL HARMONIC MAPPINGS RELATED TO STARLIKE FUNCTIONS


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Polatoğlu Y., Yavuz Duman E., Kahramaner Y., Aydoğan S. M.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.16, sa.5, ss.955-963, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 5
  • Basım Tarihi: 2014
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.955-963
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

Let f = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the unit disc D = {z is an element of C parallel to z vertical bar < 1}. If f satisfies the condition vertical bar w(z)vertical bar = vertical bar g'(z)/h'(z)vertical bar < k, (0 <= k < 1), then f is called k-quasiconformal harmonic mapping in D. The aim of this paper is to investigate a subclass of k-quasiconformal harmonic mappings.