We study branched continued fractions with inequivalent variables, branched continued fractions of the special form, and multidimensional C - and S -fractions with inequivalent variables. By using the results established for continued fractions and the results concerning the convergence and estimation of the errors of approximation of branched continued fractions of a special form in angular domains, we obtain new estimates for the rate of convergence of branched continued fractions of a special form, pointwise convergence of multidimensional C -fractions, and uniform convergence on compact sets of angular domains of multidimensional S -fractions with inequivalent variables.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 62, No. 4, pp. 72–82, October–December, 2019.
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Bodnar, D.І., Bilanyk, І.B. Estimation of the Rates of Pointwise and Uniform Convergence of Branched Continued Fractions with Inequivalent Variables. J Math Sci 265, 423–437 (2022). https://doi.org/10.1007/s10958-022-06062-w
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DOI: https://doi.org/10.1007/s10958-022-06062-w