Early coefficients of the inverse of a regular convex function-Reference-Cited by-同舟云学术

Early coefficients of the inverse of a regular convex function

Published:1982 Issue:2 Volume:85 Page:225-230
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Libera Richard J.,Złotkiewicz Eligiusz J.

Abstract

Using known properties of functions of positive real part it is shown that the first seven coefficients of the inverse of a regular univalent function mapping the disk onto a convex region are bounded by 1.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1982-085-02/S0002-9939-1982-0652447-5/S0002-9939-1982-0652447-5.pdf

Reference9 articles.

1. Coefficients of univalent functions;Duren, Peter L.;Bull. Amer. Math. Soc.,1977

2. California Monographs in Mathematical Sciences;Grenander, Ulf,1958

3. Inverse coefficients for functions of bounded boundary rotation;Kirwan, W. E.;J. Analyse Math.,1979

4. Coefficients of inverses of regular starlike functions;Krzyż, Jan G.;Ann. Univ. Mariae Curie-Sk\l odowska Sect. A,1979

5. The coefficients of multivalent close-to-convex functions;Livingston, Albert E.;Proc. Amer. Math. Soc.,1969

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