A combinatorial proof of a symmetric q-Pfaff-Saalschütz identity

Electronic Journal of Combinatorics

Volumn 12, Issue 1 N, 2005, Pages 1-11

  Guo, Victor J W ^a   Zeng, Jiang ^b  

^a NANKAI UNIVERSITY   (China)

^b UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 14744288048     PISSN: 10778926     EISSN: 10778926     Source Type: Journal    
DOI: 10.37236/1969     Document Type: Article

References (12)

1. K. Alladi, A fundamental invariant in the theory of partitions, In: Topics in Number Theory (University Park, PA, 1997), Kluwer Academic Publishers, Dordrecht, 1999, pp. 101-113.
2. G. E. Andrews, The Theory of Partitions, Cambridge University Press, Cambridge, 1998.
3. G. E. Andrews and D. M. Bressoud, Identities in combinatorics III: further aspects of ordered set sorting, Discrete Math. 49 (1984), 223-236.
4. R. Chapman, Combinatorial proofs of q-series identities, J. Combin. Theory, Ser. A 99 (2002), 1-16.
5. G. Gasper and M. Rahman, Basic Hypergeometric Series, Encyclopedia of Mathematics and Its Applications, Vol. 96, Second Edition, Cambridge University Press, Cambridge, 2004.
6. I. P. Goulden, A bijective proof of the q-Saalschütz theorem, Discrete Math. 57 (1985), 39-44.
7. V. J. W. Guo, The q-binomial theorem and two symmetric q-identities, Eletron. J. Combin. 10 (2003), #R34.
8. V. J. W. Guo, Elementary proofs of some q-identities of Jackson and Andrews-Jain, preprint.
9. J. T. Joichi and D. Stanton, Bijective proofs of basic hypergeometric series identities, Pacific J. Math. 127 (1987), 103-120.
10. I. Pak, Partition bijections, a survey, Ramanujan J., to appear.
11. J. Zeng, Sur une formule de Ramanujan-Bailey, Canad. J. Math. 42 (1990), 607-618.
12. D. Zeilberger, A q-Foata proof of the q-Saalschütz identity, European J. Combin. 8 (1987), 461-463.