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Coefficient estimates in a class of functions from with prescribed third coefficientwith prescribed third coefficient

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Abstract

Let S be the class of functions

, Cn Zn, regular and univalent in the circle ¦Z¦ < 1, let

be the class of functions from S with real coefficients C2, C3,.... One finds estimates of the coefficients Cn n ≫ 2 in the class

, as functions of C3 — 1⩽ C3 ⩽ 3. For the proof one makes use of the area method.

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Authors
  1. V. I. Kamotskii
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 125, pp. 91–98, 1983.

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Kamotskii, V.I. Coefficient estimates in a class of functions from with prescribed third coefficientwith prescribed third coefficient. J Math Sci 26, 2360–2365 (1984). https://doi.org/10.1007/BF01680016

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  • DOI: https://doi.org/10.1007/BF01680016

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