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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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Authors and Affiliations

  1. Far Eastern Federal University, Vladivostok, Russia

    V. N. Dubinin

  2. Institute of Applied Mathematics of the Far Eastern, Branch of the Russian Academy of Sciences, Moscow, Russia

    V. N. Dubinin

Authors
  1. V. N. Dubinin
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Correspondence to V. N. Dubinin.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 440, 2015, pp. 43–56.

Translated by L. Yu. Kolotilina.

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Dubinin, V.N. Distortion Theorems for Circumferentially Mean P -Valent Functions. J Math Sci 217, 28–36 (2016). https://doi.org/10.1007/s10958-016-2952-5

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  • DOI: https://doi.org/10.1007/s10958-016-2952-5

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