ArticleOriginal scientific text
Title
Even coefficient estimates for bounded univalent functions
Authors 1
Affiliations
- Faculty of Mathematics and Mechanics, Saratov State University, Astrakhanskaya, 83 410071 Saratov, Russia
Abstract
Extremal coefficient properties of Pick functions are proved. Even coefficients of analytic univalent functions f with |f(z)| < M, |z| < 1, are bounded by the corresponding coefficients of the Pick functions for large M. This proves a conjecture of Jakubowski. Moreover, it is shown that the Pick functions are not extremal for a similar problem for odd coefficients.
Keywords
coefficient estimates, univalent function, Pick function, Koebe function
Bibliography
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Pages:
267-273
Main language of publication
English
Received
1992-07-07
Published
1993
Exact and natural sciences