Elliptic Hypergeometric Solutions to Elliptic Difference Equations
Alphonse P. Magnus

TL;DR
This paper explores solutions to first-order linear difference equations on elliptic lattices, revealing simple interpolatory expansions for solutions based on elliptic functions.
Contribution
It introduces a method to define and analyze first-order linear difference equations on elliptic lattices using elliptic hypergeometric functions.
Findings
Solutions have simple interpolatory expansions.
Focus on difference equations on elliptic lattices.
Provides a framework for elliptic hypergeometric solutions.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
