Results 241 to 250 of about 148,064 (264)

Numerical stability of the branched continued fraction expansions of the ratios of Horn's confluent hypergeometric functions H6

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, M. Dmytryshyn, V. Kravtsiv, R. Rusyn   +3 more
semanticscholar   +1 more source

On the convergence of branched continued fractions

Journal of Mathematical Sciences, 1999
The 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, 1997
zbMATH 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, 2018
The 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, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The modeling of antenna arrays by branched continual fractions

5th International Conference on Antenna Theory and Techniques, 2005., 2005
The results of generalization of mathematical models for wide class of one-dimensional modulated antenna arrays, photonic crystals, impedance and dielectric structures in the form of the branched continual fractions, which are built by recurrence formula, are represented in the article.
V.V. Hoblyk, N.N. Hoblyk
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Pringsheim-type convergence indicators for branching continued fractions

Ukrainian Mathematical Journal, 1989
A convergence test of Pringsheim type for the branching continued fraction (*) \(^{\infty}_{k=1}\sum^{N}_{i(k)=1}\frac{a(i(k))}{b(i(k))}\) with complex number elements is derived. It is shown that if \(| b(i(k))| \geq N | a(i(k))| +1\) for all corresponding partial denominators and numerators b(i(k)) and a(i(k)) occurring in (*), then this expansion ...
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On branched continued fractions rational interpolation over pyramid-typed grids

Numerical Algorithms, 2009
Rational interpolation in three dimensions and branched continued fractions are studied and applied. For this, also error estimates (with a remainder formula) and computational algorithms are provided. In order to facilitate the computations, three-term recurrence relations are established which are also used to show a characterization theorem.
Wang, Renhong, Qian, Jiang
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Computational Aspects of Approximating the Horn Hypergeometric Functions \(H_3\) by Branched Continued Fractions

Altay Conference Proceedings in Mathematics
This paper investigates the approximation of Horn hypergeometric function \(H_3\) using branched continued fractions (BCFs).Based on the formal branched continued fraction expansion for the ratio of hypergeometric functions \(H_3\), a branched continued ...
M. Dmytryshyn, Sofiia Hladun, Mykhailo Holod, V. Hladun   +3 more
semanticscholar   +1 more source

Some twin regions of convergence for branched continued fractions

Journal of Mathematical Sciences, 1998
See the review in Zbl 0891.40006.
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