Quasiconformal Harmonic Mappings Related to Janowski Alpha-Spirallike Functions
3rd International Conference on Mathematical Sciences, Kuala-Lumpur, Malaysia, 17 - 19 December 2013, pp.779-784, (Full Text)
- Publication Type: Conference Paper / Full Text
- Doi Number: 10.1063/1.4882574
- City: Kuala-Lumpur
- Country: Malaysia
- Page Numbers: pp.779-784
- Istanbul Kültür University Affiliated: Yes
Abstract
Let f = h(z) + g(z) be a univalent sense-preserving harmonic mapping of the open unit disc D = {z/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 the f is called k-quasiconformal harmonic mapping in D. In the present paper we will give some properties of the class of k-quasiconformal mappings related to Janowski alpha-spirallike functions.