Gauss hypergeometric function and quadratic R-matrix algebras

Details Gauss hypergeometric function and quadratic R-matrix algebras Gauss hypergeometric function and quadratic R-matrix algebras

1994-03-31

arxiv.org/abs/math/9403218v1

St. Petersburg Math. J. 6 (1995), No.3, 595-618

Mathematics

Quantum Algebra

Scientific paper

We consider representations of quadratic $R$-matrix algebras by means of certain first order ordinary differential operators. These operators turn out to act as parameter shifting operators on the Gauss hypergeometric function and its limit cases and on classical orthogonal polynomials. The relationship with W. Miller's treatment of Lie algebras of first order differential operators will be discussed.

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