The multidimensional generalization of \(g\)-fractions and their application.

DOI10.1016/S0377-0427(03)00642-3zbMath1048.40001MaRDI QIDQ1426775

R. I. Dmytryshyn

Publication date: 15 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencecorrespondencemultidimensional \(g\)-fraction

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items (9)

Three- and four-term recurrence relations for Horn's hypergeometric function $H_4$ ⋮ Associated branched continued fractions with two independent variables ⋮ Two-Dimensional Generalization of the Rutishauser qd -Algorithm ⋮ Оцінки швидкості збіжності 1-періодичного гіллястого ланцюгового дробу спеціального вигляду ⋮ Convergence of multidimensional \(A\)- and \(J\)-fractions with independent variables ⋮ Branched continued fraction representations of ratios of Horn's confluent function $\mathrm{H}_6$ ⋮ A multidimensional generalization of the Rutishauser $qd$-algorithm ⋮ Multidimensional regular C-fraction with independent variables corresponding to formal multiple power series ⋮ The two-dimensional \(g\)-fraction with independent variables for double power series

Cites Work

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• A priori error estimates of multidimensional \(g\)-fraction approximations
• A review of branched continued fraction theory for the construction of multivariate rational approximants
• Branched continued fractions for double power series
• Continued fractions with applications
• A two-variable generalization of the Stieltjes-type continued fraction
• Truncation error bounds for g-fractions
• Univalence of Continued Fractions and Stieltjes Transforms
• Bounded analytic functions in the unit disk and the behaviour of certain analytic continued fractions near singular line.

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