Results 141 to 150 of about 160,837 (188)
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On the stability of branching continued fractions
Journal of Mathematical Sciences, 1996We study two aspects of the stability problem for various types of branching fractions using the domains of the elements, the region of convergence, and limit-periodic fractions.
D. I. Bodnar +3 more
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Evaluation of Branched Continued Fractions using Block-Tridiagonal Linear Systems
IMA Journal of Numerical Analysis, 1988It is shown the convergent of a branched continued fraction (for the definition see the previous review) can be considered as the first unknown of a block-tridiagonal linear system. Hence algorithms for the solution of such systems of equations can be used for the computation of convergents of branched continued fractions.
Cuyt, Annie A.M., Verdonk, B.
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Symmetry
This paper considers the problem of approximating some Appell’s hypergeometric functions F2 by their branched continued fraction expansions. Using the formula for the difference of two approximants of a branched continued fraction, we established the ...
R. Dmytryshyn
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This paper considers the problem of approximating some Appell’s hypergeometric functions F2 by their branched continued fraction expansions. Using the formula for the difference of two approximants of a branched continued fraction, we established the ...
R. Dmytryshyn
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Altay Conference Proceedings in Mathematics
The paper considers the branched continued fraction extensions of special ratios of Horn's hypergeometric functions \(H_4\) with real parameters and variables.
R. Dmytryshyn +2 more
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The paper considers the branched continued fraction extensions of special ratios of Horn's hypergeometric functions \(H_4\) with real parameters and variables.
R. Dmytryshyn +2 more
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Associated Branched Continued Fractions with Two Independent Variables
Ukrainian Mathematical Journal, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematical Modeling and Computing
The paper establishes the conditions of numerical stability of a numerical branched continued fraction using a new method of estimating the relative errors of the computing of approximants using a backward recurrence algorithm.
V. Hladun +3 more
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The paper establishes the conditions of numerical stability of a numerical branched continued fraction using a new method of estimating the relative errors of the computing of approximants using a backward recurrence algorithm.
V. Hladun +3 more
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On the convergence of branched continued fractions
Journal of Mathematical Sciences, 1999The author presents a short survey of ideas and results related with the investigation of convergence of the branching continued fractions. The list of references contains 33 works.
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Vector valued rational interpolants by triple branched continued fractions
Applied Mathematics-A Journal of Chinese Universities, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tan, Jieqing, Tang, Shuo
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Development of the Theory of Branched Continued Fractions in 1996–2016
Journal of Mathematical Sciences, 2018The authors analyze the research in the theory of branching continued fractions carried out during the last 20 years in the directions developed under the general supervision of Professor V. Ya. Skorobogatko (18.07.1927--04.07.1996). Some of the directions are the interpolation of functions of several variables by branching continued fractions, the ...
Bodnar, D. I., Kuchminska, Kh. Yo.
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On Koch's convergence criterion for branching continued fractions
Journal of Soviet Mathematics, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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