Multivariable continuous Hahn and Wilson polynomials related to integrable difference systems

1995/07/07 by J. F. van Diejen · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Coding theory and cryptography #Nonlinear Waves and Solitons #nlin.SI #solv-int

paper · pdf · doi:10.1088/0305-4470/28/13/003

published as J. Phys. A: Math. Gen. 28 (1995) L369-74 · 5 pages, REVTEX, to appear in J. Phys. A: Math. Gen

openalex publication_date 1995/07/07 · arxiv created 1995/07/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Multivariable generalizations of the continuous Hahn and Wilson polynomials are introduced as eigenfunctions of rational Ruijsenaars-type difference systems with an external field.

Citations

• Explicit Solution to the N-Body Calogero Problem
• Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials

Cited by

• Discrete quantum mechanics