Creation operators for the Macdonald and Jack polynomials

Abstract

Formulas of Rodrigues-type for the Macdonald polynomials are presented. They involve creation operators, certain properties of which are proved and other conjectured. The limiting case of the Jack polynomials is discussed.

14 pages, AmsLaTeX

References in corpus (2)

• Exact operator solution of the Calogero-Sutherland model
• A Rodrigues formula for the Jack polynomials and the Macdonald-Stanley conjecture

Cited by in corpus (3)

• Factorisation of Macdonald polynomials
• Raising and Lowering Operators for Askey-Wilson Polynomials
• Hopf dreams and diagonal harmonics