Schur’s criterion for formal power series

DOI10.1070/SM9225zbMath1461.30007OpenAlexW2969536787MaRDI QIDQ5210879

Viktor I. Buslaev

Publication date: 22 January 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9225

zbMATH Keywords

Schur functionscontinued fractionsHankel determinants

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Continued fractions; complex-analytic aspects (30B70)

Related Items (5)

Convergence of a limit periodic Schur continued fraction ⋮ On the solvability of the Nevanlinna-Pik interpolation problem;О разрешимости интерполяционной проблемы Неванлинны-Пика ⋮ Schur's criterion for formal Newton series ⋮ Necessary and sufficient conditions for extending a function to a Schur function ⋮ On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions

Cites Work

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• An analog of Gonchar's theorem for the \(m\)-point version of Leighton's conjecture
• On singular points of meromorphic functions determined by continued fractions
• On the Van Vleck theorem for limit-periodic continued fractions of general form
• An estimate of the capacity of singular sets of functions that are defined by continued fractions
• On Hankel determinants of functions given by their expansions in P-fractions
• Continued fractions with limit periodic coefficients

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