Discrete orthogonality of hypergeometric polynomial sequences on linear and quadratic lattices

2022/02/14 by Luis Verde‐Star, Verde-Star, Luis
Mathematics · #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2202.06456

Abstract

We present a method to obtain weight functions associated with linear and quadratic lattices that yield discrete orthogonality with respect to a quasi-definite moment functional of the orthogonal polynomial sequences in the Askey scheme, with the exception of the Jacobi, Bessel, Laguerre, and Hermite polynomials.

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