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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 376, Pages 176–180 (Mi znsl3623)  

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
References:
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
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 172, Issue 2, Pages 276–278
DOI: https://doi.org/10.1007/s10958-010-0198-1
Bibliographic databases:
Document Type: Article
UDC: 517.547.2+517.547.3
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Sha10}
\by F.~A.~Shamoyan
\paper Real zeros for certain classes of analytic functions determined by a~majorant of infinite order
\inbook Investigations on linear operators and function theory. Part~38
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 376
\pages 176--180
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3623}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 172
\issue 2
\pages 276--278
\crossref{https://doi.org/10.1007/s10958-010-0198-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78651334774}
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  • https://www.mathnet.ru/eng/znsl/v376/p176
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