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Power stability for the bieberbach inequality

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Abstract

One investigates the problem of the determination of those λ>0 for which, in the class S of functions f(z)= z+c2z2+..., regular and univalent in the circle ¦Z¦<1, the Koebe function yields a strict local maximum of the moduli of the coefficients Dn (λ) (n=2,3,...), defined by the expansion

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Authors
  1. A. Z. Grinshpan
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 125, pp. 58–64, 1983.

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Grinshpan, A.Z. Power stability for the bieberbach inequality. J Math Sci 26, 2338–2342 (1984). https://doi.org/10.1007/BF01680013

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  • DOI: https://doi.org/10.1007/BF01680013

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