On the univalent, bounded, non-vanishing and symmetric functions in the unit disk
Volume 64 / 1996
Annales Polonici Mathematici 64 (1996), 291-299
DOI: 10.4064/ap-64-3-291-299
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.