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- W2221758140 abstract "Nice formulae for plane partitions with bounded size of parts (or boxed plane partitions), which generalize the norm-trace generating function by Stanley and the trace generating function by Gansner, are exhibited. The derivation of the nice formulae is based on lattice path combinatorics of biorthogonal polynomials, especially of the little $q$-Laguerre polynomials and a generalization of the little $q$-Laguerre polynomials. A summation formula which generalizes the $q$-Chu-Vandermonde identity is also shown and utilized to prove the orthogonality of the generalized little $q$-Laguerre polynomials." @default.
- W2221758140 created "2016-06-24" @default.
- W2221758140 creator A5051547514 @default.
- W2221758140 date "2015-08-07" @default.
- W2221758140 modified "2023-10-17" @default.
- W2221758140 title "Plane partitions with bounded size of parts and biorthogonal polynomials" @default.
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- W2221758140 doi "https://doi.org/10.48550/arxiv.1508.01674" @default.
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