Journal of Mathematical Analysis and ApplicationsVolume 347, Issue 1, 1 November 2008, Pages 81-89A sufficient condition for a polynomial to be stableAuthor links open overlay panelOlga M. Katkova, Anna M. VishnyakovaShow moreShareCitehttps://doi.org/10.1016/j.jmaa.2008.05.079Get rights and contentUnder an Elsevier user licenseopen archiveAbstractA real polynomial is called Hurwitz (stable) if all its zeros have negative real parts. For a given n∈N we find the smallest possible constant dn>0 such that if the coefficients of F(z)=a0+a1z+⋯+anzn are positive and satisfy the inequalities akak+1>dnak−1ak+2 for k=1,2,…,n−2, then F(z) is Hurwitz.Previous article in issueNext article in issueKeywordsHurwitz polynomialStable polynomialLocation of zeros of real polynomialRecommended articlesCited by (0)Copyright © 2008 Elsevier Inc. All rights reserved.