Certain subclasses of meromorphic harmonic starlike functions

Author: ozturk M.   Bostanci H.  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.19, Iss.5, 2008-05, pp. : 377-385

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Abstract

In a previous paper M.-P. Chen, Z.-R. Wu and Z.-Z. Zou [M.P. Chen, Z.-R. Wu and Z.-Z. Zou, On functions α-starlike with respect to symmetric conjugate points, J. Math. Anal. Appl. 201 (1996) 25-34] developed a method, using some operators, to deal with functions analytic and starlike with respect to symmetric conjugate points in the unit disc. In this paper, we employ this method to functions meromorphic harmonic in U={z:|z|>1}. Especially, a sharp coefficient estimate and a structural representation of such functions are obtained.