Continuous biorthogonality of the elliptic hypergeometric function

Understand

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.