Elliptic Hypergeometric Functions
Classical Analysis and ODEs
2017-06-21 v3 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
In these lecture notes I give an elementary introduction to elliptic hypergeometric functions. I focus on motivating the main ideas and constructions, rather than giving a comprehensive survey. The lectures include a brief explanation of the historical origin of elliptic hypergeometric functions in the context of solvable lattice models. In particular, I give a new proof of the fact that fused Boltzmann weights for the elliptic solid-on-solid model can be expressed as elliptic hypergeometric sums.
Cite
@article{arxiv.1608.06161,
title = {Elliptic Hypergeometric Functions},
author = {Hjalmar Rosengren},
journal= {arXiv preprint arXiv:1608.06161},
year = {2017}
}
Comments
Lecture notes for a course given at the summer school OPSF-S6, College Park, Maryland, 11-15 July 2016. Slight improvements compared to previous version