ArticleOriginal scientific text

Title

On the univalent, bounded, non-vanishing and symmetric functions in the unit disk

Authors 1

Affiliations

  1. Institute of Mathematics, Silesian Technical University, Kaszubska 23, 44-100 Gliwice, Poland

Abstract

The paper is devoted to a class of functions analytic, univalent, bounded and non-vanishing in the unit disk and in addition, symmetric with respect to the real axis. Variational formulas are derived and, as applications, estimates are given of the first and second coefficients in the considered class of functions.

Keywords

univalent function, variational method, Schiffer type equation

Bibliography

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Pages:
291-299
Main language of publication
English
Received
1995-12-18
Published
1996
Exact and natural sciences