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.
|Number of pages||30|
|Journal||The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanujan|
|Publication status||Published - 2021|
- Orthogonal polynomials
- Special functions
- Toda lattice