A natural continuous interpolating structure for continued fractions
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摘要
A continued fraction in the complex plane is a discrete expansion having approximants {Fn} for n=1,2,…. There is a naturally derived function F(t), continuous and piecewise differentiable for t>0, such that F(n)=Fn for each n.
论文关键词:40A15,40A30,30B70,Continued fraction,Linear fractional transformation,Fixed point,Derivative
论文评审过程:Received 23 July 1997, Revised 14 April 1998, Available online 7 September 1999.
论文官网地址:https://doi.org/10.1016/S0377-0427(99)00037-0