English

Discrete orthogonality of hypergeometric polynomial sequences on linear and quadratic lattices

Classical Analysis and ODEs 2022-02-15 v1

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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Cite

@article{arxiv.2202.06456,
  title  = {Discrete orthogonality of hypergeometric polynomial sequences on linear and quadratic lattices},
  author = {Luis Verde-Star},
  journal= {arXiv preprint arXiv:2202.06456},
  year   = {2022}
}

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14 pages