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Formulas for the Nehari Coefficients of Bounded Univalent Functions

Published online by Cambridge University Press:  20 November 2018

Duane W. De Temple  and
David B. Oulton
Duane W. De Temple
Affiliation:
Washington State University, Pullman, Washington
David B. Oulton
Affiliation:
Washington State University, Pullman, Washington
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Abstract

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The Grunsky inequalities [6] and their generalizations (e.g., [5; 14; 17]) have become an increasingly important tool for the study of the coefficients of normalized univalent functions defined on the unit disc. In particular, proofs based upon the Grunsky inequalities have now settled the Bieberbach conjecture for the fifth [15] and sixth [13] coefficients. For bounded univalent functions the situation is similar, although the Grunsky inequalities go over to those of Nehari [11].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 3 , 01 June 1977 , pp. 587 - 605
Copyright
Copyright © Canadian Mathematical Society 1977

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