The connection problem associated with a Selberg type integral and the $q$-Racah polynomials
Mathematical Physics
2007-10-12 v1 Classical Analysis and ODEs
math.MP
Abstract
The connection problem associated with a Selberg type integral is solved. The connection coefficients are given in terms of the -Racah polynomials. As an application of the explicit expression of the connection coefficients, examples of the monodromy-invariant Hermitian form of non-diagonal type are presented. It is noteworthy that such Hermitian forms are intimately related with the correlation functions of non-diagonal type in -confromal field theory.
Keywords
Cite
@article{arxiv.0710.2167,
title = {The connection problem associated with a Selberg type integral and the $q$-Racah polynomials},
author = {Katsuhisa Mimachi},
journal= {arXiv preprint arXiv:0710.2167},
year = {2007}
}