On the convergence of multidimensional S-fractions with independent variables

DOI10.15330/cmp.10.1.58-64zbMath1407.40006OpenAlexW4232307244MaRDI QIDQ4583465

R. I. Dmytryshyn, O. S. Bodnar

Publication date: 30 August 2018

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.10.1.58-64

zbMATH Keywords

convergenceuniform convergencemultidimensional \(S\)-fraction with independent variables

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items (8)

Approximation of functions of several variables by multidimensional $S$-fractions with independent variables ⋮ Convergence of multidimensional \(A\)- and \(J\)-fractions with independent variables ⋮ Timelike spherical curves according to equiform Bishop frame in 3-dimensional Minkowski space ⋮ A truncation error bound for branched continued fractions of the special form on subsets of angular domains ⋮ On the convergence of multidimensional S-fractions with independent variables ⋮ A truncation error bound for some branched continued fractions of the special form ⋮ Representation of a quotient of solutions of a four-term linear recurrence relation in the form of a branched continued fraction ⋮ On some of convergence domains of multidimensional S-fractions with independent variables

Cites Work

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• Convergence of some branched continued fractions with independent variables
• On the convergence criterion for branched continued fractions with independent variables

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