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Star-center points of univalent functions

Part of: Geometric function theory

Published online by Cambridge University Press:  09 April 2009

Nicolas K. Artémiadis
Nicolas K. Artémiadis
Affiliation:
169, Megalou Alexandrou Street 136 71 Thrakomakedones Athens Greece
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Abstract

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

MSC classification

Secondary: 30C50: Coefficient problems for univalent and multivalent functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 1 , August 1991 , pp. 95 - 105
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Raymon, L. and Tepper, D. E., ‘Star center points of starlike functions’, J. Austral. Math. Soc. (Series A) 19 (1975).CrossRefGoogle Scholar
[2]Nehari, Z., Conformal mapping, McGraw-Hill, New York, 1952.Google Scholar