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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 382, Pages 5–14
(Mi znsl3856)
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This article is cited in 1 scientific paper (total in 1 paper)
On the region of values of the system $\{c_2,c_3,f(z_1),f'(z_1)\}$ in the class of typically real finctions
E. G. Goluzina St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Abstract:
Investigations in the well-known class $T$ of typically real functions $f(z)$ in the disk $U=\{z\colon|z|<1\}$ are continued. The region of values of the system $\{c_2,c_3,f(z_1),f'(z_1)\}$ in the class $T$ is investigated. The region of values of $f'(z_1)$ in the class of functions $f\in T$ with fixed values $c_2, c_3$ and $f(z_1)$ is determined. Bibl. 10 titles.
Key words and phrases:
typically real function, distortion theorem.
Received: 16.09.2010
Citation:
E. G. Goluzina, “On the region of values of the system $\{c_2,c_3,f(z_1),f'(z_1)\}$ in the class of typically real finctions”, Computational methods and algorithms. Part XXIII, Zap. Nauchn. Sem. POMI, 382, POMI, St. Petersburg, 2010, 5–14; J. Math. Sci. (N. Y.), 176:1 (2011), 1–6
Linking options:
https://www.mathnet.ru/eng/znsl3856 https://www.mathnet.ru/eng/znsl/v382/p5
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Abstract page: | 276 | Full-text PDF : | 56 | References: | 82 |
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