Distortion Theorems for Circumferentially Mean P -Valent Functions

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.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-2952-5