Quasiconformal harmonic mappings related to Janowski alpha-spirallike functions
Citation
Aydoǧan, S. M. & Polatoǧlu, Y. (2014). Quasiconformal harmonic mappings related to janowski alpha-spirallike functions. Paper presented at the AIP Conference Proceedings, 1602, 779-784. doi:10.1063/1.4882574Abstract
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.