Quasiconformal harmonic mappings related to starlike functions
Citation
Polatoğlu, Y., Duman, E., Kahramaner, Y. & Aydoğan, S. M. (2014). Quasiconformal harmonic mappings related to starlike functions. Journal of Computational Analysis and Applications, 16(5), 955-963.Abstract
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.
