Email this article Distortion Theorems for Circumferentially Mean P -Valent Functions
- Authors: Dubinin V.N.1,2
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Affiliations:
- Far Eastern Federal University
- Institute of Applied Mathematics of the Far Eastern, Branch of the Russian Academy of Sciences
- Issue: Vol 217, No 1 (2016)
- Pages: 28-36
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/237961
- DOI: https://doi.org/10.1007/s10958-016-2952-5
- ID: 237961
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Abstract
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.
About the authors
V. N. Dubinin
Far Eastern Federal University; Institute of Applied Mathematics of the Far Eastern, Branch of the Russian Academy of Sciences
Author for correspondence.
Email: dubinin@iam.dvo.ru
Russian Federation, Vladivostok; Moscow
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