Geodesic
Even coefficient estimates for bounded univalent functions
Annales Polonici Mathematici, Tome 58 (1993) no. 3, pp. 267-273

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Extremal coefficient properties of Pick functions are proved. Even coefficients of analytic univalent functions f with |f(z)| M, |z| 1, are bounded by the corresponding coefficients of the Pick functions for large M. This proves a conjecture of Jakubowski. Moreover, it is shown that the Pick functions are not extremal for a similar problem for odd coefficients.
DOI : 10.4064/ap-58-3-267-273
Keywords: coefficient estimates, univalent function, Pick function, Koebe function

D. Prokhorov 1

1 
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D. Prokhorov. Even coefficient estimates for bounded univalent functions. Annales Polonici Mathematici, Tome 58 (1993) no. 3, pp. 267-273. doi: 10.4064/ap-58-3-267-273

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