A missing family of classical orthogonal polynomials - Mathematics > Classical Analysis and ODEsReport as inadecuate




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Abstract: We study a family of -classical- orthogonal polynomials which satisfy apartfrom a 3-term recurrence relation an eigenvalue problem with a differentialoperator of Dunkl-type. These polynomials can be obtained from the little$q$-Jacobi polynomials in the limit $q=-1$. We also show that these polynomialsprovide a nontrivial realization of the Askey-Wilson algebra for $q=-1$.



Author: Luc Vinet, Alexei Zhedanov

Source: https://arxiv.org/







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