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- W4289744115 abstract "We present a decomposition of the generalized binomial coefficients associated with Jack polynomials into two factors: a stem, which is described explicitly in terms of hooks of the indexing partitions, and a leaf, which inherits various recurrence properties from the binomial coefficients and depends exclusively on the skew diagram. We then derive a direct combinatorial formula for the leaf in the special case where the two indexing partitions differ by at most two rows. This formula also exhibits an unexpected symmetry with respect to the lengths of the two rows." @default.
- W4289744115 created "2022-08-04" @default.
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- W4289744115 date "2018-07-26" @default.
- W4289744115 modified "2023-10-18" @default.
- W4289744115 title "A combinatorial formula for certain binomial coefficients for Jack polynomials" @default.
- W4289744115 doi "https://doi.org/10.48550/arxiv.1807.10325" @default.
- W4289744115 hasPublicationYear "2018" @default.
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