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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 5, Pages 1084–1093 (Mi smj1406)  

This article is cited in 6 scientific papers (total in 6 papers)

Polynomial solutions to the Hele–Shaw problem

O. S. Kuznetsova

Volgograd State University
Full-text PDF (215 kB) Citations (6)
Abstract: We introduce a new class $H_n$ of univalent polynomials and establish that for every polynomial in $H_n$ the Hele–Shaw problem has a polynomial solution $w(z;t)$ for all values $t>0$. We also demonstrate that the members of $H_n$ are starlike.
Received: 20.09.2000
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 5, Pages 907–915
DOI: https://doi.org/10.1023/A:1011963510477
Bibliographic databases:
UDC: 517.54+517.968.74
Language: Russian
Citation: O. S. Kuznetsova, “Polynomial solutions to the Hele–Shaw problem”, Sibirsk. Mat. Zh., 42:5 (2001), 1084–1093; Siberian Math. J., 42:5 (2001), 907–915
Citation in format AMSBIB
\Bibitem{Kuz01}
\by O.~S.~Kuznetsova
\paper Polynomial solutions to the Hele--Shaw problem
\jour Sibirsk. Mat. Zh.
\yr 2001
\vol 42
\issue 5
\pages 1084--1093
\mathnet{http://mi.mathnet.ru/smj1406}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1861635}
\zmath{https://zbmath.org/?q=an:0998.34071}
\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 5
\pages 907--915
\crossref{https://doi.org/10.1023/A:1011963510477}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172156900009}
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  • https://www.mathnet.ru/eng/smj/v42/i5/p1084
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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