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A matrix Rodrigues formula for classical orthogonal polynomials in two variables

经典分析与常微分方程 2007-05-23 v1

摘要

Classical orthogonal polynomials in one variable can be characterized as the only orthogonal polynomials satisfying a Rodrigues formula. In this paper, using the second kind Kronecker power of a matrix, a Rodrigues formula is introduced for classical orthogonal polynomials in two variables.

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引用

@article{arxiv.math/0610128,
  title  = {A matrix Rodrigues formula for classical orthogonal polynomials in two variables},
  author = {A. Alvarez de Morales and L. Fernández and T. E. Pérez and M. A. Piñar},
  journal= {arXiv preprint arXiv:math/0610128},
  year   = {2007}
}

备注

17 pages