Literature cited
W. B. Jones and W. J. Thron, Continued Fractions: Analytic Theory and Applications, Addison-Wesley, Reading (1980).
O. Perron, Die Lehre von Kettenbruchen, Vol. 2, Teubner, Stuttgart (1957).
I. V. Sleshinskii, “The convergence of continued fractions,” Zap. Mat. Otd. Estest,10, 201–255 (1889).
V. Ya. Skorobogat'ko, The Theory of Branching Continued Fractions and Its Application in Computational Mathematics [in Russian], Nauka, Moscow (1983).
N. A. Nedashkovskii, “The convergence and computational stability of branching continued fractions of a certain type,” Mat. Metody Fiz.-Mekh. Polya,20, 27–31 (1984).
Kh. I. Kuchminskaya, “Sufficient conditions of the convergence of two-dimensional continued fractions,” Mat. Metody Fiz.-Mekh. Polya,20, 19–23 (1984).
D. I. Bodnar, Branching Continued Fractions [in Russian], Naukova Dumka, Kiev (1986).
P. I. Bodnarchuk, “Some transformations of branching continued fractions,” Mat. Metody Fiz.-Mekh. Polya,2, 153–155 (1975).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 11, pp. 1553–1557, November, 1989.
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Bodnar, D.I. Pringsheim-type convergence indicators for branching continued fractions. Ukr Math J 41, 1339–1343 (1989). https://doi.org/10.1007/BF01056505
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DOI: https://doi.org/10.1007/BF01056505