J Austral Math Soc Ser A 51 pp95--105, 1991.

Star-Center Points of Univalent Functions

Nicholas K. Artémiadis

(Received 19 February 1990; revised 13 July 1990)

Abstract

Let F br the class of normalized univalent functions in the unit disk. For f Î F let S_k be the set of all star center points of f. Let F₀ = {f Î F : 0 Î S_f⁰} where S_f⁰ is the interior of S_f. The influence that the size of the set S_f⁰ has on the Taylor coefficients of a function f Î F₀ is examined, and estimates of these coefficients depending only on S_f⁰, as well as other results, are obtained.

1980 AMS Subject Classification (1985 Revision): 30C50

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Authors

Nicholas K. Artémiadis: 169, Megalou Alexandra Street, 136 71 Thrakomakedones, Athens, Greece.

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