ArticleOriginal scientific text
Title
On the univalent, bounded, non-vanishing and symmetric functions in the unit disk
Authors 1
Affiliations
- 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
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