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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 404, Pages 75–82
(Mi znsl5260)
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On an estimate 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:
Let $T(c_2,c_3)$ be the class of functions $f(z)=z+\sum^\infty_{n=2}c_nz^n$ regular and typically real in the disk $|z|<1$ with fixed values of the coefficients $c_2$ and $c_3$. The boundary functions of the region of values of $f(z_0)$ $(0<|z_0|<1)$ and sharp estimates for $f(r)$, $0<r<1$, in the class $T(c_2,c_3)$ are determined.
Key words and phrases:
typically real functions, region of values.
Received: 25.10.2012
Citation:
E. G. Goluzina, “On an estimate in the class of typically real functions”, Analytical theory of numbers and theory of functions. Part 27, Zap. Nauchn. Sem. POMI, 404, POMI, St. Petersburg, 2012, 75–82; J. Math. Sci. (N. Y.), 193:1 (2013), 40–44
Linking options:
https://www.mathnet.ru/eng/znsl5260 https://www.mathnet.ru/eng/znsl/v404/p75
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Statistics & downloads: |
Abstract page: | 264 | Full-text PDF : | 65 | References: | 60 |
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