On q-integrals over order polytopes (extended abstract)
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.
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2020-04-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
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| Online Access: | https://dmtcs.episciences.org/6413/pdf |
| _version_ | 1797270246408585216 |
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| author | Jang Soo Kim |
| author_facet | Jang Soo Kim |
| author_sort | Jang Soo Kim |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-25T02:01:13Z |
| format | Article |
| id | doaj.art-e88b26d4e47f4335847045f87b67b487 |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:01:13Z |
| publishDate | 2020-04-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-e88b26d4e47f4335847045f87b67b4872024-03-07T14:55:20ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502020-04-01DMTCS Proceedings, 28th...10.46298/dmtcs.64136413On q-integrals over order polytopes (extended abstract)Jang Soo Kim0School of MathematicsA 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://dmtcs.episciences.org/6413/pdf[math.math-co]mathematics [math]/combinatorics [math.co] |
| spellingShingle | Jang Soo Kim On q-integrals over order polytopes (extended abstract) Discrete Mathematics & Theoretical Computer Science [math.math-co]mathematics [math]/combinatorics [math.co] |
| title | On q-integrals over order polytopes (extended abstract) |
| title_full | On q-integrals over order polytopes (extended abstract) |
| title_fullStr | On q-integrals over order polytopes (extended abstract) |
| title_full_unstemmed | On q-integrals over order polytopes (extended abstract) |
| title_short | On q-integrals over order polytopes (extended abstract) |
| title_sort | on q integrals over order polytopes extended abstract |
| topic | [math.math-co]mathematics [math]/combinatorics [math.co] |
| url | https://dmtcs.episciences.org/6413/pdf |
| work_keys_str_mv | AT jangsookim onqintegralsoverorderpolytopesextendedabstract |