Abstract
By regarding a two-dimensional continued fraction as a function of its elements and applying recursion relations for its tails, we establish formulas for the first partial derivatives of the fraction, on the basis of which we construct linear approximations of limit-periodic two-dimensional continued fractions.
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Translated fromMatematichni Metody i Fiziko-Mekhanichni Polya, Vol. 38, 1995.
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Sus', O.M. Some local properties of two-dimensional continued fractions. J Math Sci 81, 3024–3028 (1996). https://doi.org/10.1007/BF02362587
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DOI: https://doi.org/10.1007/BF02362587