Elliptic Hypergeometric Solutions to Elliptic Difference Equations
Classical Analysis and ODEs
2009-03-30 v1
Abstract
It is shown how to define difference equations on particular lattices , , 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.
Keywords
Cite
@article{arxiv.0903.4803,
title = {Elliptic Hypergeometric Solutions to Elliptic Difference Equations},
author = {Alphonse P. Magnus},
journal= {arXiv preprint arXiv:0903.4803},
year = {2009}
}