Results 11 to 20 of about 111,867 (281)
Correlations between zeros of a random polynomial [PDF]
Journal of Statistical Physics, 1997 We obtain exact analytical expressions for correlations between real zeros of the Kac random polynomial. We show that the zeros in the interval $(-1,1)$ are asymptotically independent of the zeros outside of this interval, and that the straightened zeros
A. Bloch +23 more
core +5 more sources
More zeros of krawtchouk polynomials [PDF]
Graphs and Combinatorics, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Habsieger, Laurent, Stanton, Dennis
openaire +2 more sources
Preserving Zeros of a Polynomial [PDF]
Communications in Algebra, 2009 We study non-linear surjective mappings on subsets of ${\cal M}_n(F)$, which preserve the zeros of some fixed polynomials in noncommuting variables. Keywords: Matrix algebra, Multilinear polynomials, Preservers.
Guterman, A., Kuzma, B.
openaire +2 more sources
Polynomials with real zeros via special polynomials [PDF]
Comptes Rendus. Mathématique, 2021 In this paper, we use particular polynomials to establish some results on the real rootedness of polynomials. The considered polynomials are Bell polynomials and Hermite polynomials.
Mihoubi, Miloud, Taharbouchet, Said
openaire +3 more sources
Generalizations of some Enestrom-Kakeya type results
Bibechana, 2015 In this paper we give interesting generalizations of some well-known Enestrom-Kakeya type results on the location of zeros of a complex polynomial under less restrictive conditions on the coefficients of the polynomial. BIBECHANA 13 (2016) 1-8
MH Gulzar, AW Manzoor
doaj +3 more sources
Brauer-Type Inclusion Sets of Zeros for Chebyshev Polynomial
Mathematics, 2019 The generalized polynomials such as Chebyshev polynomial and Hermite polynomial are widely used in interpolations and numerical fittings and so on. Therefore, it is significant to study inclusion regions of the zeros for generalized polynomials.
Xiao Feng, Yaotang Li
doaj +1 more source
On the determination of the number of positive and negative polynomial zeros and their isolation
Open Mathematics, 2020 A novel method with two variations is proposed with which the number of positive and negative zeros of a polynomial with real coefficients and degree n can be restricted with significantly better determinacy than that provided by the Descartes rule of ...
Prodanov Emil M.
doaj +1 more source
New polynomial-based molecular descriptors with low degeneracy. [PDF]
PLoS ONE, 2010 In this paper, we introduce a novel graph polynomial called the 'information polynomial' of a graph. This graph polynomial can be derived by using a probability distribution of the vertex set.
Matthias Dehmer +2 more
doaj +1 more source
SMIRNOV’S INEQUALITY FOR POLYNOMIALS HAVING ZEROS OUTSIDE THE UNIT DISC
Проблемы анализа, 2021 In 1887, the famous chemist D. I. Mendeleev posed the following problem: to estimate |𝑓 ′(𝑥)| for a real polynomial 𝑓 (𝑥), satisfying the condition |𝑓 (𝑥)| ≤ 𝑀 on [𝑎, 𝑏]. This question arose when Mendeleev was studying aqueous solutions.
E. G. Kompaneet, V. V. Starkov
doaj +1 more source
ZEROS OF LACUNARY TYPE POLYNOMIALS
EURASIAN MATHEMATICAL JOURNAL, 2022 Summary: Using Schwarz's lemma, \textit{Q. G. Mohammad} [Am. Math. Mon. 72, 631--633 (1965; Zbl 0145.30002)] proved that all zeros of the polynomial \[f(z)=a_0+a_1z+\dots+a_{n-1}z^{n-1}+a_nz^n\] with real or complex coefficients lie in the closed disc \[|z|\leqslant\frac{M'}{|a_n|}\text{ if } |a_n|\leqslant M',\] where \[M'=\max_{|z|=1}|a_0+a_1z+\dots ...
openaire +1 more source