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

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

1994-10-20

arxiv.org/abs/hep-th/9410146v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

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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