Elliptic hypergeometric functions
Book chapter, 2020

Lecture notes for a course given at the summer school OPSF-S6, College Park, Maryland, 11-15 July 2016. 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.

Author

Hjalmar Rosengren

University of Gothenburg

Mathematics

Lectures on Orthogonal Polynomials and Special Functions


9781108908993 (ISBN)

Subject Categories

Mathematics

Other Physics Topics

Roots

Basic sciences

DOI

10.1017/9781108908993

More information

Latest update

12/13/2021