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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 2, Pages 472–481
(Mi smj1305)
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On the coefficient problem for univalent functions
V. G. Sheretov Tver State University
Abstract:
We prove a criterion for analytic functions to belong to the classes $S^{(p)}$ and $\Sigma^{(p)}$ of univalent functions with $p$-multiple circular symmetry in terms of countable systems of exact coefficient inequalities. As a consequence we obtain a description for the corresponding domains of coefficients.
Received: 17.06.2001
Citation:
V. G. Sheretov, “On the coefficient problem for univalent functions”, Sibirsk. Mat. Zh., 43:2 (2002), 472–481; Siberian Math. J., 43:2 (2002), 379–387
Linking options:
https://www.mathnet.ru/eng/smj1305 https://www.mathnet.ru/eng/smj/v43/i2/p472
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