This article is cited in 2 papers

An estimate of the curvature of level curves in a class of univalent functions

V. V. Chernikov

Tomsk State University

Abstract: In this note a class of normalized functions which are univalent in the unit disk is considered. An exact solution of the problem of an upper estimate of curvature of level curves for functions of this class is obtained. In particular, an exact solution of this problem for univalent functions with real coefficients at the points of the interval $(0,1)$ is obtained.

UDC: 513.8

Received: 07.01.1975

 English version: Mathematical Notes, 1976, 19:3, 232–236

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