3_F_2(1) hypergeometric function and quadratic R-matrix algebra

Vadim B. Kuznetsov

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arXiv · hep-th/9410146

3_F_2(1) hypergeometric function and quadratic R-matrix algebra

Vadim B. Kuznetsov

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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.

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Vadim B. Kuznetsov. 1994-10-20. 3_F_2(1) hypergeometric function and quadratic R-matrix algebra. https://arxiv.org/abs/hep-th/9410146

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