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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 395, Pages 20–30
(Mi znsl4640)
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On the mutual change of values of a function and its coefficients in the class of typically real functions
E. G. Goluzina St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Abstract:
The paper coninues investigations of the well-known class $T$ of typically real functions $f(z)$ in the disk $U=\{z\colon|z|<1\}$. The region of values of the system $\{c_2,c_3,f(z_1),f(z_2)\}$ in the class $T$ is studied. The region of values of $f(z_2)$ in the class of functions $f\in T$ with fixed values $c_2,c_3$ and $f(z_1)$ is determined.
Key words and phrases:
typically real function, region of values, coefficients of the problem.
Received: 09.11.2011
Citation:
E. G. Goluzina, “On the mutual change of values of a function and its coefficients in the class of typically real functions”, Computational methods and algorithms. Part XXIV, Zap. Nauchn. Sem. POMI, 395, POMI, St. Petersburg, 2011, 20–30; J. Math. Sci. (N. Y.), 182:6 (2012), 754–760
Linking options:
https://www.mathnet.ru/eng/znsl4640 https://www.mathnet.ru/eng/znsl/v395/p20
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Statistics & downloads: |
Abstract page: | 254 | Full-text PDF : | 51 | References: | 76 |
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