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Mathematics of the USSR-Izvestiya, 1990, Volume 35, Issue 1, Pages 101–112
DOI: https://doi.org/10.1070/IM1990v035n01ABEH000689 (Mi im1273) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Zero sets of entire generating functions of Pólya frequency sequences of finite order

O. M. Katkova, I. V. Ostrovskii
English version PDF (528 kB) Citations (3)
References:
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DOI: https://doi.org/10.1070/IM1990v035n01ABEH000689
Abstract: A full description of zero sets of entire generating functions of Pólya frequency sequences of finite order is given. A generalization to the transcendental case of Poincaré's polynomial theorem, relating to the problem of precise determination of the number of positive roots with the help of Descartes' rule, is obtained.
Bibliography: 9 titles.
Received: 23.06.1987
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1989, Volume 53, Issue 4, Pages 771–781
Bibliographic databases:
UDC: 517.537.32 + 517.547.2
MSC: 30C15, 30D99
Language: English
Original paper language: Russian
Citation: O. M. Katkova, I. V. Ostrovskii, “Zero sets of entire generating functions of Pólya frequency sequences of finite order”, Izv. Akad. Nauk SSSR Ser. Mat., 53:4 (1989), 771–781; Math. USSR-Izv., 35:1 (1990), 101–112
Citation in format AMSBIB
\Bibitem{KatOst89}
\by O.~M.~Katkova, I.~V.~Ostrovskii
\paper Zero sets of entire generating functions of P\'olya frequency sequences of finite order
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 4
\pages 771--781
\mathnet{http://mi.mathnet.ru/im1273}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1018747}
\zmath{https://zbmath.org/?q=an:0696.30028|0689.30019}
\transl
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 1
\pages 101--112
\crossref{https://doi.org/10.1070/IM1990v035n01ABEH000689}
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  • https://doi.org/10.1070/IM1990v035n01ABEH000689
  • https://www.mathnet.ru/eng/im/v53/i4/p771
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:472
    Russian version PDF:119
    English version PDF:20
    References:48
    First page:1
     
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