THE At AND Q BAILEY TRANSFORM AND LEMMA

@inproceedings{Milne1992THEAA,
  title={THE At AND Q BAILEY TRANSFORM AND LEMMA},
  author={Stephen C. Milne and GLENN M. LILLY},
  year={1992}
}
We announce a higher-dimensional generalization of the Bailey Transform, Bailey Lemma, and iterative "Bailey chain" concept in the setting of basic hypergeometric series very well-poised on unitary Ae or symplectic Q groups. The classical case, corresponding to A¡ or equivalently U(2), contains an immense amount of the theory and application of one-variable basic hypergeometric series, including elegant proofs of the Rogers-Ramanujan-Schur identities. In particular, our program extends much of… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
8 Extracted Citations
12 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 12 references

and M

  • G. Gaspe
  • Rahman, Basic hypergeometric series, Encyclopedia…
  • 1990
1 Excerpt

Partitions and indefinite quadratic forms

  • G E. Andrews, F. J. Dyson, D. Hickerson
  • Invent. Math
  • 1988

q-Series : Their development and application in analysis, number theory, combinatorics, physics and computer algebra, CBMS Regional Con

  • G E. Andrews
  • Ser. in Math., no. 66, Conf. Board Math. Sei…
  • 1986
2 Excerpts

An elementary proof of the Macdonald identities for A

  • S. C. Milne
  • Adv. in Math
  • 1985
1 Excerpt

Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities

  • G. E. Andrews, R. J. Baxter, P. J. Forrester
  • J. Statist. Phys
  • 1984

Applications of q-Lagrange inversion to basic hypergeometric series

  • I. Gessel, D. Stanton
  • Trans. Amer. Math. Soc
  • 1983
2 Excerpts

Exactly solved models in statistical mechanics

  • R. J. Baxter
  • 1982

Zwei neue Transformationen als elementare Anwendungen der q-Vandermonde Formel

  • P. Paule
  • Ph.D. thesis,
  • 1982
1 Excerpt

and J

  • L. C. Biedenhar
  • D. Louck, Angular momentum in quantum physics…
  • 1981
1 Excerpt

Summation Theorems for hypergeometric series in U(n)

  • III W.J. Holman
  • SIAM J. Math. Anal
  • 1980
1 Excerpt

Similar Papers

Loading similar papers…