Gauss hypergeometric function and quadratic $R$matrix algebras
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 November 1993
 arXiv:
 arXiv:hepth/9311152
 Bibcode:
 1993hep.th...11152K
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Classical Analysis and ODEs;
 Mathematics  Quantum Algebra
 EPrint:
 26 pages