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ON A SUBCLASS OF STARLIKE FUNCTIONS

Let R(β) denote the class of functions f(z) = z + a₂z² + ··· which are analytic in the unit disc D = {z : |z| < 1} and satisfy the condition Re (f'(z) + zf"(z)) > β, β < 1, for z ϵ D. We find β so that R(β) is a subclass of S*, the class consisting of univalent starlike functions...

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Bibliographic Details
Published in:The Rocky Mountain journal of mathematics 1994, Vol.24 (2), p.447-451
Main Author: ALI, ROSIHAN MOHAMED
Format: Article
Language:English
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Summary:Let R(β) denote the class of functions f(z) = z + a₂z² + ··· which are analytic in the unit disc D = {z : |z| < 1} and satisfy the condition Re (f'(z) + zf"(z)) > β, β < 1, for z ϵ D. We find β so that R(β) is a subclass of S*, the class consisting of univalent starlike functions in D.
ISSN:0035-7596
1945-3795
DOI:10.1216/rmjm/1181072410