On power series having sections with only real zeros

DOI10.1007/BF03321047zbMath1058.30009OpenAlexW2114000078MaRDI QIDQ1884443

Olga M. Katkova, Anna M. Vishnyakova, Tetyana Lobova

Publication date: 1 November 2004

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

Full work available at URL: https://doi.org/10.1007/bf03321047

zbMATH Keywords

zeros of entire functionstotally positive sequencessections of power seriespolynomials with real zeros

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) Special classes of entire functions of one complex variable and growth estimates (30D15)

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Cites Work

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• Complex zero decreasing sequences
• Karlin's conjecture and a question of Pólya
• On the generating functions of totally positive sequences. I

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