e/Koornwinder polynomials

Information
has gloss	eng: In mathematics, Koornwinder polynomials (also called Macdonald-Koornwinder polynomials) are a family of orthogonal polynomials in several variables, named for their discoverer Tom H. Koornwinder (Koornwinder 1992), that generalize the Askey-Wilson polynomials. They can also be viewed as Macdonald polynomials attached to the non-reduced root system of type BC, and in particular satisfy (Diejen 1996, Sahi 1999) analogues of Macdonald's "conjectures" (Macdonald 2003, Chapter 5). In addition Jan Felipe van Diejen showed that the Macdonald polynomials associated to any classical root system can be expressed as limits or special cases of Koornwinder polynomials and found complete sets of concrete commuting difference operators diagonalized by them (Diejen 1995). Furthermore there is a large class of interesting families of multivariable orthogonal polynomials associated with classical root systems which are degenerate cases of the Koornwinder-Macdonald polynomials (Diejen 1999). The Koornwinder-Macdonald polynomials have also been studied with the aid of affine Hecke algebras (Noumi 1995, Sahi 1999 , Macdonald 2003 ).
lexicalization	eng: Koornwinder polynomials
instance of	e/Orthogonal polynomials