On q-series identities related to interval orders

George E. Andrews, Vít Jelínek

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

We prove several power series identities involving the refined generating function of interval orders, as well as the refined generating function of the self-dual interval orders. These identities may be expressed as ∑n≥0(1p;1q)n=∑n≥0pqn(p;q)n(q;q)n and ∑n≥0(-1)n(1p;1q)n=∑n≥0pqn(p;q)n(-q;q)n=∑n≥0(qp)n(p;q2)n, where the equalities apply to the (purely formal) power series expansions of the above expressions at p=q=1, as well as at other suitable roots of unity.

Original languageEnglish (US)
Pages (from-to)178-187
Number of pages10
JournalEuropean Journal of Combinatorics
Volume39
DOIs
StatePublished - Jul 1 2014

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

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