Elliptic Hypergeometric Solutions to Elliptic Difference Equations

Alphonse P. Magnus

Symmetry, integrability and geometry: methods and applications, Tome 5 (2009)

Résumé

It is shown how to define difference equations on particular lattices $\{x_n\}$, $n\in\mathbb Z$, made of values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations have remarkable simple interpolatory expansions. Only linear difference equations of first order are considered here.

Détail

Keywords: elliptic difference equations; elliptic hypergeometric expansions.

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