Results 31 to 40 of about 147,754 (277)

Approximation of the lauricella hypergeometric functionsF D (N) by branched continued fractions [PDF]

Journal of Mathematical Sciences, 1998
See the review in Zbl 0893.33008.
N. P. Molnar
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On approximation of some Lauricella-Saran's hypergeometric functions $F_M$ and their ratios by branched continued fractions

Математичні Студії
The paper considers the problem of approximating Lauricella-Saran's hypergeometric functions $F_M(a_1,a_2,b_1,b_2;a_1,c_2;z_1,z_2,z_3)$ by rational functions, which are approximants of branched continued fraction expansions - a special family functions ...
R. Dmytryshyn, I. Nyzhnyk
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Convergence criterion for branched contіnued fractions of the special form with positive elements

Karpatsʹkì Matematičnì Publìkacìï, 2017
In this paper the problem of convergence of the important type of a multidimensional generalization of continued fractions, the branched continued fractions with independent variables, is considered.
D.I. Bodnar, I.B. Bilanyk
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Truncation error bounds of branched continued fraction expansions of special ratios of Horn's hypergeometric functions \(H_4\)

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.
Roman Dmytryshyn, Clemente Cesarano, I.-A. Lutsiv   +2 more
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Multiple orthogonal polynomials, 𝑑-orthogonal polynomials, production matrices, and branched continued fractions

Transactions of the American Mathematical Society, Series B
I analyze an unexpected connection between multiple orthogonal polynomials, d d -orthogonal polynomials, production matrices and branched continued fractions. This work can be viewed as a partial extension of Viennot’s combinatorial theory of orthogonal polynomials to the case where the production matrix is lower-Hessenberg but is not ...
Alan D. Sokal
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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 ...
Marta Dmytryshyn, Sofiia Hladun, Mykhailo Holod, Volodymyr Hladun   +3 more
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On the approximation of an appell hypergeometric function by a branched continued fraction [PDF]

, 1998
O. S. Manzii
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Approximation of functions of several variables by multidimensional $S$-fractions with independent variables

Karpatsʹkì Matematičnì Publìkacìï, 2021
The paper deals with the problem of approximation of functions of several variables by branched continued fractions. We study the correspondence between formal multiple power series and the so-called "multidimensional $S$-fraction with independent ...
R.I. Dmytryshyn, S.V. Sharyn
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On convergence of function F4(1,2;2,2;z1,z2) expansion into a branched continued fraction

Mathematical Modeling and Computing, 2022
In the paper, the possibility of the Appell hypergeometric function F4(1,2;2,2;z1,z2) approximation by a branched continued fraction of a special form is analysed.
V. Hladun, N. Hoyenko, O. Manziy, L. Ventyk   +3 more
semanticscholar   +1 more source

Convergence of some branched continued fractions with independent variables

Matematychni Studii, 2017
Roman Dmytryshyn
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