On the stability of Taylor sections of a function \(\Sigma _{k=0}^{\infty } z^{k}/a^{k^{2}}, a>1\)

DOI10.1007/BF03321729zbMath1167.30004OpenAlexW2088746671MaRDI QIDQ2378584

Anna M. Vishnyakova, Olga M. Katkova

Publication date: 13 January 2009

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: http://www.heldermann.de/CMF/CMF09/CMF091/cmf09020.htm

zbMATH Keywords

Hurwitz polynomialstable polynomialzeros of sections of entire functions

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10) Finite nilpotent groups, (p)-groups (20D15) Stability theory for ordinary differential equations (34D99)

Cites Work

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• A sufficient condition for a polynomial to be stable
• Almost strict total positivity and a class of Hurwitz polynomials
• On power series having sections with only real zeros
• On sufficient conditions for the total positivity and for the multiple positivity of matrices
• A Sufficient condition for strict total positivity of a matrix
• Totally positive matrices

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