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arxiv: 0812.0279 · v4 · submitted 2008-12-01 · 🧮 math.QA · math-ph· math.MP

Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

classification 🧮 math.QA math-phmath.MP
keywords typedifferencefunctionskerneloperatorsruijsenaarssingleapplication
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A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type A and of type BC. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials attached to single columns and single rows are derived.

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