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Sbornik: Mathematics, 1996, Volume 187, Issue 5, Pages 735–744
DOI: https://doi.org/10.1070/SM1996v187n05ABEH000130 (Mi sm130) 		 
This article is cited in 12 scientific papers (total in 12 papers)

A problem of Mahler on the zeros of a polynomial and its derivative

È. A. Storozhenko

I. I. Mechnikov Odessa National University
English version PDF (349 kB) Citations (12)
References:
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DOI: https://doi.org/10.1070/SM1996v187n05ABEH000130
Abstract: Mahler has obtained an inequality for the products of zeros of an algebraic polynomial and its derivative lying outside the unit disc. In this paper a converse inequality with best possible constant is established.
Received: 12.10.1995
Russian version:
Matematicheskii Sbornik, 1996, Volume 187, Number 5, Pages 111–120
DOI: https://doi.org/10.4213/sm130
Bibliographic databases:
UDC: 517.518
MSC: 30C10, 30C15
Language: English
Original paper language: Russian
Citation: È. A. Storozhenko, “A problem of Mahler on the zeros of a polynomial and its derivative”, Mat. Sb., 187:5 (1996), 111–120; Sb. Math., 187:5 (1996), 735–744
Citation in format AMSBIB
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\by \`E.~A.~Storozhenko
\paper A problem of Mahler on the~zeros of a~polynomial and its derivative
\jour Mat. Sb.
\yr 1996
\vol 187
\issue 5
\pages 111--120
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\transl
\jour Sb. Math.
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\pages 735--744
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  • https://doi.org/10.1070/SM1996v187n05ABEH000130
  • https://www.mathnet.ru/eng/sm/v187/i5/p111
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:512
    Russian version PDF:238
    English version PDF:25
    References:71
    First page:2
     
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