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Bivariate thiele-type branched continued fraction and general order Padé approximation
Guofeng, Zhang
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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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On the Convergence of Branched Continued Fractions of a Special form in Angular Domains
Journal of Mathematical Sciences, 2020We study the angular domains of convergence of branched continued fractions of a special form with complex partial denominators. By using the sufficient criterion of convergence of these fractions with positive elements and the Stieltjes–Vitali theorem, we establish a many-dimensional analog of the van Vleck convergence criterion for continued ...
D. I. Bodnar, I. B. Bilanyk
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Representation of algebraic numbers by periodic branching continued fractions
Moscow University Mathematics Bulletin, 2007The notion of a periodic branching continued fraction is a natural generalization of the notion of a periodic continued fraction. It is shown that for an arbitrary positive algebraic number one can construct a periodic branching continued fraction with natural elements convergent to this number.
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Some twin regions of convergence for branched continued fractions
Journal of Mathematical Sciences, 1998See the review in Zbl 0891.40006.
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