Rational interpolation to solutions of Riccati difference equations on elliptic lattices |
| |
Authors: | Alphonse P Magnus |
| |
Institution: | Université catholique de Louvain, Institut mathématique, 2 Chemin du Cyclotron, B-1348 Louvain-La-Neuve, Belgium |
| |
Abstract: | 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. |
| |
Keywords: | 42C05 41A20 39A70 |
本文献已被 ScienceDirect 等数据库收录! |
|