On a class of univalent functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2012 Serbia English Publisher:Elsevier BVJournal:Applied Mathematics Letters, volume 25, pages 1,373-1,378 (issn: 0893-9659,

Copyright policy )Funded by:MESTD | Function spaces and their...

Authors: Milutin Obradovic; Saminathan Ponnusamy;

doi: 10.1016/j.aml.2011.12.005

On a class of univalent functions

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Abstract

AbstractLet A be the class of analytic functions in the unit disk D with the normalization f(0)=f′(0)−1=0. Denote by N the class of functions f∈A which satisfy the condition |−z3(zf(z))‴+f′(z)(zf(z))2−1|≤1,z∈D. We show that functions in N are univalent in D but not necessarily starlike. Also, we present the characterization formula, necessary and sufficient coefficient conditions for functions to be in the class N.

Country

Serbia

Related Organizations

University of Belgrade
Serbia
University of Belgrade, Faculty of Civil Engineering
Serbia
Indian Institute of Technology Madras
India

Keywords

Analytic Hadamard convolution, Applied Mathematics, Univalent and starlike functions, Coefficient inequality, Analytic, Hadamard convolution

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