Rational interpolation to solutions of Riccati difference equations on elliptic lattices
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摘要
It is shown how to define difference equations on particular lattices {xn}, n∈Z, where the xns are values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations (elliptic Riccati equations) have remarkable simple (!) interpolatory continued fraction expansions.
论文关键词：42C05,41A20,39A70,Elliptic difference equations,Riccati difference equations,Orthogonal functions,Rational approximation
论文评审过程：Received 7 November 2007, Available online 26 February 2009.
论文官网地址：https://doi.org/10.1016/j.cam.2009.02.047
