Approximants of Śleszyński–Pringsheim continued fractions

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摘要

We characterize the sequences {zn} of complex numbers which are sequences of approximants of continued fractions K(an/bn) with |an|+1⩽|bn|, and study some of their properties. In particular we give truncation error bounds for such continued fractions.

论文关键词：Continued fractions,Pringsheim,Śleszyński,Convergence,Truncation error bounds,Möbius maps

论文评审过程：Received 8 October 1999, Revised 28 February 2000, Available online 20 June 2001.

论文官网地址：https://doi.org/10.1016/S0377-0427(00)00448-9