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Structure and the coefficients of certain classes of regular functions

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Abstract

In this paper, the well-known results of Carathéodory, Toeplitz, F. Riesz, Herglotz, containing the characterization of the Carathéodory class with the aid of the Stieltjes integral and with the aid of nonnegative quadratic forms (conditions on the coefficients), are extended to certain other classes of functions, regular in a circle or in an annulus.

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Authors
  1. E. G. Goluzina
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 125, pp. 47–57, 1983.

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Goluzina, E.G. Structure and the coefficients of certain classes of regular functions. J Math Sci 26, 2330–2337 (1984). https://doi.org/10.1007/BF01680012

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