On some of convergence domains of multidimensional S-fractions with independent variables
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Publication:5233440
DOI10.15330/cmp.11.1.54-58zbMath1423.32004OpenAlexW2955078300WikidataQ127571721 ScholiaQ127571721MaRDI QIDQ5233440
Publication date: 11 September 2019
Published in: Carpathian Mathematical Publications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15330/cmp.11.1.54-58
Special families of functions of several complex variables (32A17) 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 ⋮ Two-dimensional generalization of the Thron-Jones theorem on the parabolic domains of convergence of continued fractions ⋮ Timelike spherical curves according to equiform Bishop frame in 3-dimensional Minkowski space ⋮ Truncation error bounds for the branched continued fraction \(\sum_{i_{1=1}}^N\frac{a_{i(1)}}{1}+\sum_{i_{2=1}}^{i_1}\frac{a_{i(2)}}{1}+\sum_{i_{3=1}}^{i_2}\frac{a_{i(3)}}{1}+\cdots \) ⋮ Truncation error bounds for branched continued fraction whose partial denominators are equal to unity ⋮ On the convergence of multidimensional S-fractions with independent variables ⋮ Convergence and estimation of the truncation error for the corresponding two-dimensional continued fractions
Cites Work
- Convergence of some branched continued fractions with independent variables
- On the convergence of multidimensional S-fractions with independent variables
- On the convergence criterion for branched continued fractions with independent variables
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