On one criterion for the figured convergence of two-dimensional continued fractions with complex elements

We establish a new criterion for the figured convergence of two-dimensional continued fractions with complex elements. This criterion represents a generalization of the theorems of simple and twin convergence sets for continued fractions.

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Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2010-11, Vol.170 (5), p.594-603
Main Authors: Antonova, T. M., Sus’, O. M.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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description We establish a new criterion for the figured convergence of two-dimensional continued fractions with complex elements. This criterion represents a generalization of the theorems of simple and twin convergence sets for continued fractions.
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subjects Mathematics
Mathematics and Statistics
title On one criterion for the figured convergence of two-dimensional continued fractions with complex elements
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