Elliptic hypergeometric functions
Preprint, 2016

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

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Subject Categories

Mathematics

Other Physics Topics

Roots

Basic sciences

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Created

10/7/2017