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arxiv: math/0503727 · v2 · submitted 2005-03-31 · 🧮 math.QA · math.CO

A Conjecture about Raising Operators for Macdonald Polynomials

classification 🧮 math.QA math.CO
keywords macdonaldpolynomialsformulaoperatorsraisingagreesconjectureconjectured
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A multivariable hypergeometric-type formula for raising operators of the Macdonald polynomials is conjectured. It is proved that this agrees with Jing and Jozefiak's expression for the two-row Macdonald polynomials, and also with Lassalle and Schlosser's formula for partitions with length three.

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