An analog of Gonchar's theorem for the \(m\)-point version of Leighton's conjecture
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Publication:338491
DOI10.1134/S008154381604009XzbMath1367.30004WikidataQ122904602 ScholiaQ122904602MaRDI QIDQ338491
Publication date: 7 November 2016
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)
Related Items (8)
Continued fractions with limit periodic coefficients ⋮ An analog of Pólya's theorem for multivalued analytic functions with finitely many branch points ⋮ On the Van Vleck theorem for limit-periodic continued fractions of general form ⋮ Necessary and sufficient conditions for extending a function to a Schur function ⋮ The capacity of the rational preimage of a compact set ⋮ On singular points of meromorphic functions determined by continued fractions ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system ⋮ Schur’s criterion for formal power series
Cites Work
- On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions
- Capacity of a compact set in a logarithmic potential field
- On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials
- The convergence of Padé approximants to functions with branch points
- An estimate of the capacity of singular sets of functions that are defined by continued fractions
- Continued fraction expansions for arbitrary power series
- An analogue of Polya's theorem for piecewise holomorphic functions
- Distribution of the zeros of Padé polynomials and analytic continuation
- Convergence of m-point Padé approximants of a tuple of multivalued analytic functions
- Singular Points of Functions Defined by C-Fractions
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