Bounded harmonic mappings related to starlike functions
Künye
Varol, D., Aydoǧan, M. & Polatoǧlu, Y. (2014). Bounded harmonic mappings related to starlike functions. Paper presented at the AIP Conference Proceedings, 1602, 644-649. doi:10.1063/1.4882553Özet
Let f = h(z) + <(g(z))over bar> be a sense-preserving harmonic mapping in the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar 1/b(1) g'(z)/h' (z) - M vertical bar < M, M > 1/2, then f is called bounded harmonic mapping. The main purpose of this paper is to give some properties of the class of bounded harmonic mapping.
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