Schur’s criterion for formal power series
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Publication:5210879
DOI10.1070/SM9225zbMath1461.30007OpenAlexW2969536787MaRDI QIDQ5210879
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
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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