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arXiv · 1902.10533

A determinant formula associated with the elliptic hypergeometric integrals of type $BC_n$

Masahiko Ito·Masatoshi Noumi
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Abstract

We establish a determinant formula for the bilinear form associated with the elliptic hypergeometric integrals of type $BC_n$ by studying the structure of $q$-difference equations to be satisfied by them. The determinant formula is proved by combining the $q$-difference equations of the determinant and its asymptotic analysis along the singularities. The elliptic interpolation functions of type $BC_n$ are essentially used in the study of the $q$-difference equations.

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Masahiko Ito, Masatoshi Noumi. 2019-02-27. A determinant formula associated with the elliptic hypergeometric integrals of type $BC_n$. https://doi.org/10.1063/1.5094116

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