Estimates for Some Functionals of Bounded Nonvanishing Functions
- 41 Downloads
We consider the class of bounded nonvanishing analytic functions in the unit disk and study the properties of extremal functions for some functionals of a certain form on this function class.
Unable to display preview. Download preview PDF.
- 1.Krzyz J., "Coefficient problem for bounded nonvanishing functions," Ann. Polon. Math., 20, 314 (1968).Google Scholar
- 2.Szapiel W., "A new approach to the Krzyz conjecture," Ann. Univ. Mariae. Curie-Sklodowska Sect. A, 48, 169–192 (1994).Google Scholar
- 3.Hummel J. A., Scheinberg S., and Zalcman L., "A coefficient problem for bounded nonvanishing functions," J. Anal. Math., 34, 169–190 (1977).Google Scholar
- 4.Aleksandrov I. A., Parametric Extensions in the Theory of Univalent Functions [in Russian], Nauka, Moscow (1976).Google Scholar