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On Convex Univalent Functions

On convex univalent functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1970 English Publisher:Canadian Mathematical SocietyJournal:Canadian Journal of Mathematics, volume 22, pages 123-127 (issn: 0008-414X, eissn: 1496-4279,

Authors: F. R. Keogh; J. L. Frank; T. Basgoze;

doi: 10.4153/cjm-1970-015-2

On Convex Univalent Functions

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Abstract

In what follows, we suppose that ƒ(z) = Σ0∞anzn is regular for |z| < 1. LetandThen (see, for example, [6, pp. 235-236]), for 0 ≦ r < ρ < 1, we have:The following results are well known.

Related Organizations

University of Kentucky
United States
Middle East Technical University
Turkey

Keywords

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

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