A triple product formula for plane partitions derived from biorthogonal polynomials
2020 ◽
Vol DMTCS Proceedings, 28th...
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Keyword(s):
International audience A new triple product formulae for plane partitions with bounded size of parts is derived from a combinato- rial interpretation of biorthogonal polynomials in terms of lattice paths. Biorthogonal polynomials which generalize the little q-Laguerre polynomials are introduced to derive a new triple product formula which recovers the classical generating function in a triple product by MacMahon and generalizes the trace-type generating functions in double products by Stanley and Gansner.
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2014 ◽
Vol 45
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pp. 341-356
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2011 ◽
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2020 ◽
Vol DMTCS Proceedings, 28th...
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2006 ◽
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2008 ◽
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