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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 376, Pages 176–180
(Mi znsl3623)
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Real zeros for certain classes of analytic functions determined by a majorant of infinite order
F. A. Shamoyan I. G. Petrovsky Bryansk State University, Bryansk, Russia
Abstract:
Certain classes of entire functions or of functions analytic in the unit disk are treated; they are defined in terms of a radial majorant $\lambda$ that grows sufficiently fast. Under certain assumptions on $\lambda$, the zero sets for such a class are described that lie on $\mathbb R_+$ (respectively, on the segment $[0,1)$). Bibl. – 9 titles.
Key words and phrases:
entire function, zero set, Lindelöf condition.
Received: 07.06.2010
Citation:
F. A. Shamoyan, “Real zeros for certain classes of analytic functions determined by a majorant of infinite order”, Investigations on linear operators and function theory. Part 38, Zap. Nauchn. Sem. POMI, 376, POMI, St. Petersburg, 2010, 176–180; J. Math. Sci. (N. Y.), 172:2 (2011), 276–278
Linking options:
https://www.mathnet.ru/eng/znsl3623 https://www.mathnet.ru/eng/znsl/v376/p176
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Statistics & downloads: |
Abstract page: | 318 | Full-text PDF : | 99 | References: | 59 |
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