Rendiconti del Seminario Matematico della Università di Padova


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Volume 132, 2014, pp. 231–238
DOI: 10.4171/RSMUP/132-11

Published online: 2014-11-04

Simple sufficient conditions for bounded turning

Nikolai Tuneski[1], Maslina Darus[2] and Elena Gelova[3]

(1) Sts Cyril and Methodius University, Skopje, Macedonia
(2) Universiti Kebangsaan Malaysia, Bangi Selangor, Malaysia
(3) University Goce Delcev, Stip, Macedonia

Let $ f$ be an analytic function in the open unit disk normalized such that $ f(0)=f'(0)-1=0.$ In this paper the modulus and the real part of the linear combination of $ f'(z)$ and $ f(z)/z$ is studied and conditions when $ f$ is of bounded turning are obtained.

Keywords: Analytic function, bounded turning, real part, modulus

Tuneski Nikolai, Darus Maslina, Gelova Elena: Simple sufficient conditions for bounded turning. Rend. Sem. Mat. Univ. Padova 132 (2014), 231-238. doi: 10.4171/RSMUP/132-11