Karlin's conjecture and a question of Pólya

DOI10.1216/rmjm/1181069768zbMath1079.30029OpenAlexW2009807516MaRDI QIDQ2566477

Thomas C. Craven, George Csordas

Publication date: 26 September 2005

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069768

zbMATH Keywords

Hankel determinantDescartes' rule of signsTurán inequalitiestotally positive sequence

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Real polynomials: location of zeros (26C10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (6)

On power series having sections with only real zeros ⋮ On the growth of Artin-Tits monoids and the partial theta function ⋮ The leading root of the partial theta function ⋮ Determinantal inequalities for the partition function ⋮ Higher order Turán inequalities for combinatorial sequences ⋮ Positivity of the determinants of the partition function and the overpartition function

Cites Work

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• Jensen polynomials and the Turán and Laguerre inequalities
• Differential operators of infinite order and the distribution of zeros of entire functions
• A rule of signs involving certain orthogonal polynomials
• Zur Abzählung der reellen Wurzeln algebraischer Gleichungen
• Complex zero decreasing sequences
• On certain determinants whose elements are orthogonal polynomials
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• On the Generating Functions of Totally Positive Sequences
• Totally positive matrices

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