New extensions for a theorem by Mocanu

For analytic functions f(z) in the open unit disk U with f(0)=f'(0)-1=f"(0)=0, P. T. Mocanu (Mathematica (Cluj), 42(2000)) has considered some sufficient arguments of f'(z)+zf"(z) for |\arg(zf'(z)/f(z))|

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Bibliographic Details
Published in:arXiv.org 2013-03
Main Authors: Shiraishi, Hitoshi, Owa, Shigeyoshi
Format: Article
Language:English
Subjects:
Analytic functions
Online Access:Get full text
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Summary:For analytic functions f(z) in the open unit disk U with f(0)=f'(0)-1=f"(0)=0, P. T. Mocanu (Mathematica (Cluj), 42(2000)) has considered some sufficient arguments of f'(z)+zf"(z) for |\arg(zf'(z)/f(z))|
ISSN:2331-8422