Continuous biorthogonality of the elliptic hypergeometric function
Quantum Algebra
2009-03-20 v2 Classical Analysis and ODEs
Abstract
We construct a family of continuous biorthogonal functions related to an elliptic analogue of the Gauss hypergeometric function. The key tools used for that are the elliptic beta integral and the integral Bailey chain introduced earlier by the author. Relations to the Sklyanin algebra and elliptic analogues of the Faddeev modular double are discussed in detail.
Cite
@article{arxiv.0801.4137,
title = {Continuous biorthogonality of the elliptic hypergeometric function},
author = {V. P. Spiridonov},
journal= {arXiv preprint arXiv:0801.4137},
year = {2009}
}
Comments
23 pages; minor modifications