MATHEMATICS

On a family of univalent functions

G. A. Yuferova

Tomsk State University, Faculty of Mechanics and Mathematics

Abstract: A new example integration of the Lovner’s equation with controlling function which depends on a parameter (argument) is received. It is shown that exist a function in the set of getting maps. It gives extremely function in the problem of estimate of argument of derivative for univalent conformal maps.

Keywords: Lovner’s equation, external functions to estimate of argument of derivative.

UDC: 517.54


Accepted: January 26, 2009

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