Shuhei Kamioka - A triple product formula for plane partitions derived from biorthogonal polynomials

dmtcs:6333 - Discrete Mathematics & Theoretical Computer Science, April 22, 2020, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) - https://doi.org/10.46298/dmtcs.6333
A triple product formula for plane partitions derived from biorthogonal polynomialsArticle

Authors: Shuhei Kamioka 1

  • 1 Department of Applied Mathematics and Physics [Kyoto]

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.


Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
Published on: April 22, 2020
Imported on: July 4, 2016
Keywords: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]

Consultation statistics

This page has been seen 198 times.
This article's PDF has been downloaded 258 times.