Quasiconformal Harmonic Mappings Related to Janowski Starlike Functions

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Kahramaner Y., Polatoglu Y.

SAINS MALAYSIANA, vol.43, no.12, pp.1961-1964, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 12
  • Publication Date: 2014
  • Doi Number: 10.17576/jsm-2014-4312-19
  • Journal Name: SAINS MALAYSIANA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1961-1964
  • Istanbul Kültür University Affiliated: Yes

Abstract

Let f(z) = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical bar= vertical bar g'(z)/h'(z)vertical bar< k, 0 < k < 1, then is called k-quasiconformal harmonic mapping in D. The main purpose of this paper was to give some properties of the class of k-quasiconformal mappings related to Janowski starlike functions.