Some properties of two-dimensional continued fractions

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摘要

Using another approach to form approximants of the two-dimensional continued fraction, elementary properties of two-dimensional continued fractions are investigated. In particular, for fractions with positive elements the “fork” property is valid.

论文关键词:30B70,40A15,41A20,Two-dimensional continued fraction,Convergence,Difference formula

论文评审过程:Received 3 October 1997, Revised 9 August 1998, Available online 7 September 1999.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00030-8