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math.COJun 13, 2016
1
citations (OpenAlex)
authors
  • Michael J. Schlosser
  • Meesue Yoo
institutions
  • Sungkyunkwan University
  • University of Vienna
arXiv abstractPDF
paper

Basic hypergeometric summations from rook theory

arXiv:1606.03877 · doi:10.1007/978-3-319-68376-8_37

Abstract

We employ a one-variable extension of q-rook theory to give combinatorial proofs of some basic hypergeometric summations, including the q-Pfaff-Saalschütz summation and a 4phi3 summation by Jain.

12 pages

References in corpus (2)

  • An elliptic extension of the general product formula for augmented rook boards
  • Elliptic extensions of the alpha-parameter model and the rook model for matchings
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