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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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Published in: | The Rocky Mountain journal of mathematics 1994, Vol.24 (2), p.447-451 |
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Main Author: | |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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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. |
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ISSN: | 0035-7596 1945-3795 |
DOI: | 10.1216/rmjm/1181072410 |