Identities in combinatorics III: Further aspects of ordered set sorting

George E. Andrews, David M. Bressoud

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

Given two multi-sets of non-negative integers, we define a measure of their common values called the crossing number and then use this concept to provide a combinatorial interpretation of the q-Hahn polynomials and combinatorial proofs of the q-analogs of the Pfaff-Saalschutz summation and the Sheppard transformation.

Original languageEnglish (US)
Pages (from-to)223-236
Number of pages14
JournalDiscrete Mathematics
Volume49
Issue number3
DOIs
StatePublished - May 1984

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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