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Creation Operators for the Macdonald and Jack Polynomials

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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.

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Lapointe, L., Vinet, L. Creation Operators for the Macdonald and Jack Polynomials. Letters in Mathematical Physics 40, 269–286 (1997). https://doi.org/10.1023/A:1007332315944

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  • DOI: https://doi.org/10.1023/A:1007332315944

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