Zeros of Fractional Derivatives of Polynomials

被引：0

作者：

Caparatta, Torre ^{[1
]}

Pauli, Sebastian ^{[1
]}

Saidak, Filip ^{[1
]}

机构：

[1] Univ North Carolina Greensboro, Dept Math & Stat, 116 Petty Bldg POB 26170, Greensboro, NC 27402 USA

来源：

EXPERIMENTAL MATHEMATICS | 2024年

关键词：

fractional derivatives; polynomials; Mahler measure; zeros;

D O I：

10.1080/10586458.2024.2382362

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the behavior of fractional derivatives of polynomials. In particular, we consider the locations and the asymptotic behavior of their zeros and give bounds for their Mahler measure.

引用

页数：14

共 50 条

[1] ON ZEROS OF DERIVATIVES OF POLYNOMIALS
MEIR, A
SHARMA, A
CANADIAN MATHEMATICAL BULLETIN, 1968, 11 (03): : 443 - &
[2] ON MODULI OF ZEROS OF DERIVATIVES OF POLYNOMIALS
OSTROWSKI, AM
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1968, 230 : 40 - +
[3] Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials
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[4] ZEROS OF RANDOM POLYNOMIALS AND THEIR HIGHER DERIVATIVES
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[5] LOCATION OF ZEROS OF DERIVATIVES OF FABER POLYNOMIALS
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[6] ON THE ZEROS OF THE PARAMETRIC DERIVATIVES OF THE ULTRASPHERICAL POLYNOMIALS
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[7] INEQUALITIES FOR DERIVATIVES OF POLYNOMIALS WITH RESTRICTED ZEROS
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[8] ZEROS OF DERIVATIVES OF BALANCED TRIGONOMETRIC POLYNOMIALS
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[9] ZEROS OF POLYNOMIALS OF DERIVATIVES OF ZETA FUNCTIONS
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[10] INEQUALITIES FOR DERIVATIVES OF POLYNOMIALS WITH REAL ZEROS
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KEXUE TONGBAO, 1984, 29 (02): : 276 - 276

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