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

[41] Polynomials with only real zeros [J].

Srimud, K. ;

Tadee, S. ;

Laohakosol, V. .

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2016, 10 :61-67

[42] Zeros and irreducibility of Stern polynomials [J].

Dilcher, Karl ;

Kidwai, Mohammad ;

Tomkins, Hayley .

PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 90 (3-4) :407-433

[43] Zeros of polynomials with random coefficients [J].

Pritsker, Igor E. ;

Yeager, Aaron M. .

JOURNAL OF APPROXIMATION THEORY, 2015, 189 :88-100

[44] ZEROS OF LACUNARY TYPE POLYNOMIALS [J].

Das, S. .

EURASIAN MATHEMATICAL JOURNAL, 2022, 13 (01) :32-43

[45] On zeros of discrete orthogonal polynomials [J].

Krasikov, Ilia ;

Zarkh, Alexander .

JOURNAL OF APPROXIMATION THEORY, 2009, 156 (02) :121-141

[46] Polynomials with integer coefficients and their zeros [J].

Igor E. Pritsker .

Journal of Mathematical Sciences, 2012, 183 (6) :810-822

[47] Real zeros of SONC polynomials [J].

Dressler, Mareike .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, 225 (07)

[48] Zeros of recursively defined polynomials [J].

Heim, Bernhard ;

Neuhauser, Markus ;

Troger, Robert .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2020, 26 (04) :510-531

[49] Monotonicity of zeros of Laguerre polynomials [J].

Dimitrov, Dimitar K. ;

Rafaeli, Fernando R. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (03) :699-702

[50] On the Zeros of Polynomials with Restricted Coefficients [J].

Zargar, B. A. ;

Gulzar, M. H. ;

Ali, M. .

ANNALES MATHEMATICAE SILESIANAE, 2023, 37 (02) :306-314

← 1 2 3 4 5 →