Jang Soo Kim - On q-integrals over order polytopes (extended abstract)

dmtcs:6413 - 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.6413
On q-integrals over order polytopes (extended abstract)Article

Authors: Jang Soo Kim 1,2

  • 1 School of Mathematics
  • 2 Department of Mathematics [Suwon]

A q-integral over an order polytope coming from a poset is interpreted as a generating function of linear extensions of the poset. As an application, theq-beta integral and aq-analog of Dirichlet’s integral are computed. A combinatorial interpretation of aq-Selberg integral is also obtained.

https://doi.org/10.46298/dmtcs.6413
Source: HAL:hal-02168131v1
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]
Funding:
    Source : OpenAIRE Graph
  • RTG in Combinatorics; Funder: National Science Foundation; Code: 1148634

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