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A Conjecture about Raising Operators for Macdonald Polynomials

Jun'ichi Shiraishi
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Abstract

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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Jun'ichi Shiraishi. 2005-04-25. A Conjecture about Raising Operators for Macdonald Polynomials. https://doi.org/10.1007/s11005-005-7648-6

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