Askey-wilson Polynomials for Root Systems of Type Bc
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چکیده
This paper introduces a family of Askey-Wilson type orthogonal polynomials in n variables associated with a root system of type BCn. The family depends, apart from q, on 5 parameters. For n = 1 it specializes to the four-parameter family of one-variable Askey-Wilson polynomials. For any n it contains Macdonald’s two three-parameter families of orthogonal polynomials associated with a root system of type BCn as special cases.
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تاریخ انتشار 2005