A note on Koornwinder's polynomials with weight function (1−x)α(1+x)β+Mδ(x+1)+Nδ(x−1)

Abstract

We derive the distribution and three-term recurrence relation for the Koornwinder [2] polynomials with weight function shown above using the method developed in our paper [3]. We are able to obtain explicit expressions for the linear functional in terms of the coefficients of the three-term recurrence relation for the Jacobi polynomials and we obtain the… (More)
DOI: 10.1007/BF02142499

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