Orthogonal functions related to Lax pairs in Lie algebras

Wolter Groenevelt, Erik Koelink

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

We study a Lax pair in a 2-parameter Lie algebra in various representations. The overlap coefficients of the eigenfunctions of L and the standard basis are given in terms of orthogonal polynomials and orthogonal functions. Eigenfunctions for the operator L for a Lax pair for sl(d+ 1 , C) is studied in certain representations.

Keywords

  • Orthogonal polynomials
  • Special functions
  • Toda lattice

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