A sufficient condition for a polynomial to be stable

DOI10.1016/j.jmaa.2008.05.079zbMath1146.30005OpenAlexW2165097441MaRDI QIDQ936570

Olga M. Katkova, Anna M. Vishnyakova

Publication date: 14 August 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.079

zbMATH Keywords

Hurwitz polynomialstable polynomiallocation of zeros of real polynomial

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10)

Related Items (17)

On q-analogs of Struve functions ⋮ A sufficient condition for a complex polynomial to have only simple zeros and an analog of Hutchinson's theorem for real polynomials ⋮ Hurwitz polynomials and orthogonal polynomials generated by Routh-Markov parameters ⋮ On the stability of Taylor sections of a function \(\Sigma _{k=0}^{\infty } z^{k}/a^{k^{2}}, a>1\) ⋮ Total nonnegativity of finite Hurwitz matrices and root location of polynomials ⋮ The Poisson binomial distribution -- old \& new ⋮ Hutchinson's intervals and entire functions from the Laguerre-Pólya class ⋮ On the location of roots of Steiner polynomials ⋮ Zeros of the Wigner distribution and the short-time Fourier transform ⋮ Polynomial stability and potentially stable patterns ⋮ ON STABILITY OF A POLYNOMIAL ⋮ Stable polynomials and sums of dependent Bernoulli random variables: application to Hoeffding inequalities ⋮ On the roots of generalized Wills \(\mu\)-polynomials ⋮ On the zeros of the second and third Jackson q-Bessel functions and their associated q-Hankel transforms ⋮ The generalized Hadamard product of polynomials and its stability ⋮ On reality and asymptotics of zeros of \(q\)-Hankel transforms ⋮ On multiple and infinite log-concavity

Cites Work

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• Almost strict total positivity and a class of Hurwitz polynomials
• On sufficient conditions for the total positivity and for the multiple positivity of matrices
• On the generating functions of totally positive sequences. I
• A Sufficient Condition for All the Roots of a Polynomial To Be Real
• A Sufficient condition for strict total positivity of a matrix
• A Generalization of a Theorem of Bôcher

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