3_F_2(1) hypergeometric function and quadratic R-matrix algebra
High Energy Physics - Theory
2008-02-03 v1 Classical Analysis and ODEs
Quantum Algebra
Abstract
We construct a class of representations of the quadratic R-matrix algebra, given by the reflection equation with the spectral parameter, in terms of certain ordinary difference operators. These operators turn out to act as parameter shifting operators on the 3_F_2(1) hypergeometric function and its limit cases and on classical orthogonal polynomials. The relationship with the factorization method will be discussed.
Cite
@article{arxiv.hep-th/9410146,
title = {3_F_2(1) hypergeometric function and quadratic R-matrix algebra},
author = {Vadim B. Kuznetsov},
journal= {arXiv preprint arXiv:hep-th/9410146},
year = {2008}
}
Comments
13 pages