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Found 34 Documents (Results 1–34)

Two-dimensional generalization of the Thron-Jones theorem on the parabolic domains of convergence of continued fractions. (English. Ukrainian original) Zbl 1515.30017

Ukr. Math. J. 74, No. 9, 1317-1333 (2023); translation from Ukr. Mat. Zh. 74, No. 9, 1155-1169 (2022).
MSC:  30B70
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Convergence criteria for branched continued fraction with positive elements. (Ukrainian, English) Zbl 1349.40007

Mat. Metody Fiz.-Mekh. Polya 58, No. 1, 57-64 (2015); translation in J. Math. Sci., New York 222, No. 1, 70-80 (2017).
MSC:  40A15 30B70
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Rate estimates of pointwise and uniform convergence of 1-periodic branching continued fraction of special form. (Ukrainian, English) Zbl 1313.30012

Mat. Metody Fiz.-Mekh. Polya 56, No. 4, 24-32 (2013); translation in J. Math. Sci., New York 208, No. 3, 289-300 (2015).
MSC:  30B70 40A15
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Domains of convergence of branching continued fractions of a special type. (Ukrainian. English summary) Zbl 1022.40004

Kovtunets, V. V. (ed.), Approximation theory and its applications. Proceedings of the international conference dedicated to the memory of Vladislav Kirillovich Dzyadyk held in Kiev, Ukraine, May 27-31, 1999. Kyïv: Instytut Matematyky NAN Ukraïny. Pr. Inst. Mat. Nats. Akad. Nauk Ukr., Mat. Zastos. 31, 19-32 (2000).
MSC:  40A15 30B70
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Branched continued fractions (30th anniversary of the first publication). (English. Ukrainian original) Zbl 0899.01015

J. Math. Sci., New York 90, No. 5, 2324-2333 (1998); translation from Mat. Metody Fiz.-Mekh. Polya 39, No. 2, 9-19 (1996).
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