Distortion Theorems for Circumferentially Mean P -Valent Functions

Some distortion theorems for circumferentially mean p-valent functions are proved using the symmetrization method. The cases of functions with a zero of order p at the origin, functions having no zeros, and functions with Montel’s normalization are considered. The equality cases in the estimates obt...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-08, Vol.217 (1), p.28-36
1. Verfasser:	Dubinin, V. N.
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Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
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description	Some distortion theorems for circumferentially mean p-valent functions are proved using the symmetrization method. The cases of functions with a zero of order p at the origin, functions having no zeros, and functions with Montel’s normalization are considered. The equality cases in the estimates obtained are described. Bibliography: 10 titles.
doi_str_mv	10.1007/s10958-016-2952-5
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title	Distortion Theorems for Circumferentially Mean P -Valent Functions
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