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

被引：4

作者：

Storozhenko, EA

机构：

[1] Inst. of Math., Econ., and Mechanics

来源：

SBORNIK MATHEMATICS | 1996年 / 187卷 / 5-6期

关键词：

D O I：

10.1070/SM1996v187n05ABEH000130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：735 / 744

页数：10

共 50 条

[1] On the zeros of a polynomial and of its derivative
Bray, HE
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1931, 53 : 864 - 872
[2] ON THE ZEROS OF A POLYNOMIAL AND ITS DERIVATIVE
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[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1985, 31 (02) : 245 - 255
[3] ON ZEROS OF A POLYNOMIAL AND ITS DERIVATIVE
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[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 21 (02) : 273 - &
[4] ZEROS OF A POLYNOMIAL AND ITS DERIVATIVE
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[J]. PACIFIC JOURNAL OF MATHEMATICS, 1972, 41 (02) : 525 - &
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[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1969, 26 (02) : 315 - &
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[7] Kakeya's problem on the zeros of the derivative of a polynomial
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[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1939, 45 (1-3) : 355 - 368
[8] ON THE ZEROS OF A POLYNOMIAL AND ITS DERIVATIVE .2.
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[J]. JOURNAL OF THE UNIVERSITY OF KUWAIT-SCIENCE, 1986, 13 (02): : 151 - 156
[9] ON THE ZEROS OF A POLYNOMIAL AND ITS DERIVATIVE .1.
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[10] ON ZEROS OF DERIVATIVE OF A POLYNOMIAL
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[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1961, 264 (1317) : 145 - +

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