Rational interpolation to solutions of Riccati difference equations on elliptic lattices

[摘要] It is shown how to define difference equations on particular lattices {x(n)}, n is an element of Z, where the x(n)s 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. (C) 2009 Elsevier B.V. All rights reserved.

[发布日期] 2009-12-01

[效力级别]  Proceedings Paper

[关键词] Elliptic difference equations;Riccati difference equations;Orthogonal functions;Rational approximation