Parabolic convergence region for two-dimensional continued fractions (in Ukrainain) |
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| Author |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the NAS of Ukraine, 3b Naukova St., Lviv 290601, Ukraine
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| Abstract |
Using the element region and value region techniques and the stability
property of branched continued fractions the analogy of the parabolic
convergence
region for two-dimensional continued fractions is established.
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| Keywords |
element region, value region, branched continued fractions, stability property, parabolic convergence region
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| DOI |
doi:10.30970/ms.4.1.29-36
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Reference |
1. Боднар Д.И. Исследование сходимости одного класса ветвящихся цепных дробей // Цепные дроби и их применения. – Киев: Институт математики АН УССР. 1976. С.41–44.
2. Боднар Д.И. Ветвящиеся цепные дроби, – Киев: Наукова думка, 1986. 176c. 3. Bodnar D., Kuchmins'ka Kh., Sus' O. A survey of analytic theory of branched continued fractions // Communications in the analytic theory of continued fractions. 1993. V.2. P.4–23. 4. Джоунс У. Трон В. Непрерывные дроби: аналитическая теория и приложения, – М.: Мир, 1985. 414с. 5. Кучмiнська Х.Й. Вiдповiдний i приєднаний гiллястi ланцюговi дроби для подвiйного степеневого ряду // Доповiдi АН УРСР. Сер.А. 1978. № 7. С.614–617. 6. Lorentzen L., Waadeland H. Continued fractions with applications, – Amsterdam: Elsevier Publishers B.V., 1992. 606p. 7. Murphy J.A., O'Donohoe M. A two-variable generalization of the Stieltjes-type continued fraction // Journ. Comp. and Appl. Math. 1978. V.4. № 3. P.181–190. 8. Wall H.S. Analytic theory of Continued Fractions, – New York: Van Nostrand, 1948. 433p. Iнститут прикладних проблем механiки i математики, НАН України, 290601, Львiв, Наукова 3-Б |
| Pages |
29-36
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| Volume |
4
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| Issue |
1
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| Year |
1995
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |