Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit

作者：van Diejen J F^*; Emsiz E

来源：Advances in Mathematics, 2015, 285: 1225-1240.

DOI：10.1016/j.aim.2015.08.018

• Hypergeometric functions
• Whittaker functions
• Root systems
• Bispectral problem
• Rational Ruijsenaars-Schneider system
• Hyperbolic Calogero-Moser model
• Open quantum Toda chain

We present an explicit difference equation for the Heckman-Opdam hypergeometric function associated with root systems. Via a confluent hypergeometric limit, an analogous difference equation is obtained for the class-one Whittaker function diagonalizing the open quantum Toda chain.

• 出版日期2015-11-5