A Coefficient Estimate for Multivalent Functions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1976Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 54, page 201 (issn: 0002-9939,

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Authors: Hallenbeck, David J.; Livingston, Albert E.;

doi: 10.2307/2040785 , 10.1090/s0002-9939-1976-0387561-2

A Coefficient Estimate for Multivalent Functions

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Abstract

By making use of extreme point theory we obtain bounds on the coefficients of a class of functions, multivalent in the unit disk, closely related to the bounds conjectured by Goodman.

Keywords

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Coefficient problems for univalent and multivalent functions of one complex variable

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