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Univalent functions without common values

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Abstract

In this paper we establish inequalities involving moduli of derivatives |f′ k (0)| of functions f k univalent in the unit disk |z| < 1 having no common values and translating zero into a point on the segment [−1, 1], k = 1, …, n. We estimate f k by means of Schwarzian derivatives.

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Authors and Affiliations

  1. Far Eastern Academy for Humanities and Social Studies, ul. Shirokaya 70a, Birobidzhan, 679000, Russia

    D. A. Kirillova

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  1. D. A. Kirillova
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Correspondence to D. A. Kirillova.

Additional information

Original Russian Text © D.A. Kirillova, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 9, pp. 86–89.

Submitted by F. G. Avkhadiev

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Kirillova, D.A. Univalent functions without common values. Russ Math. 54, 74–76 (2010). https://doi.org/10.3103/S1066369X10090094

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