Some convergence regions of branched continued fractions of special form

DOI10.15330/cmp.5.1.4-13zbMath1382.40008OpenAlexW1980967266MaRDI QIDQ2941943

O. Ye. Baran

Publication date: 26 August 2015

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.5.1.4-13

zbMATH Keywords

convergence regionbranched continued fraction

Mathematics Subject Classification ID

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

Related Items

Some properties of branched continued fractions of special form, Convergence of multidimensional \(A\)- and \(J\)-fractions with independent variables, Two-dimensional generalization of the Thron-Jones theorem on the parabolic domains of convergence of continued fractions, A Worpitzky boundary theorem for branched continued fractions of the special form, Truncation error bounds for the branched continued fraction \(\sum_{i_{1=1}}^N\frac{a_{i(1)}}{1}+\sum_{i_{2=1}}^{i_1}\frac{a_{i(2)}}{1}+\sum_{i_{3=1}}^{i_2}\frac{a_{i(3)}}{1}+\cdots \), Truncation error bounds for branched continued fraction whose partial denominators are equal to unity, Development of the Theory of Branched Continued Fractions in 1996–2016, A truncation error bound for some branched continued fractions of the special form, Representation of a quotient of solutions of a four-term linear recurrence relation in the form of a branched continued fraction

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