Distortion Theorems for Circumferentially Mean P -Valent Functions


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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.

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V. Dubinin

Far Eastern Federal University; Institute of Applied Mathematics of the Far Eastern, Branch of the Russian Academy of Sciences

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Email: dubinin@iam.dvo.ru
俄罗斯联邦, Vladivostok; Moscow

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