A Duality of Macdonald-koornwinder Polynomials and Its Application to Integral Representations

  • Published 2001


We give a formula representing a duality of Macdonald-Koornwinder polynomials. Using this formula, an integral representation of Macdonald-Koornwinder polynomials is derived, a special case of which is the conjectural formula stated in [22]. We also present the corresponding formula to Heckman and Opdam’s Jacobi polynomials of type BCm. 


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