Article ID Journal Published Year Pages File Type
4641040 Journal of Computational and Applied Mathematics 2009 9 Pages PDF
Abstract

It is shown how to define difference equations on particular lattices {xn}{xn}, n∈Zn∈Z, where the xnxns 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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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