Literature cited
P. I. Bondarchuk and V. Ya. Skorobogat'ko, Branching Continued Fractions and Their Application [in Russian], Naukova Dumka, Kiev (1974).
O. Perron, Die Lehre von den Kettenbrüchen, Chelsea, New York (1950).
D. I. Bodnar, “An analog of Vorpitskii's test of convergence for branching continued fractions,” in: Mathematical Transactions [in Russian], Naukova Dumka, Kiev (1976).
W. Fair, “A convergence theorem for noncommutative continued fractions,” J. Approximation Theory, No. 5, 74–76 (1972).
V. A. Ambartsumyan, Scientific Works [in Russian], Vol. 2, Izd. Akad. Nauk Arm. SSR, Erevan (1960).
S. Chandrasekhar, Radiative Transfer, Oxford Univ. Press, Oxford (1950).
S. Chandrasekhar, An Introduction to the Study of Stellar Structure, Dover, New York (1957).
G. Sansone, Equazione Differenziali nel Campo Reale, Vol. 2, Nicola Zanichelli, Bologna (1949).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 34, No. 5, pp. 559–564, September–October, 1982.
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Mikhal'chuk, R.I., Syavavko, M.S. A continual analog of continued fractions. Ukr Math J 34, 450–455 (1982). https://doi.org/10.1007/BF01093130
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DOI: https://doi.org/10.1007/BF01093130