The and Bailey transform and lemma

Authors:
Stephen C. Milne and Glenn M. Lilly

Journal:
Bull. Amer. Math. Soc. **26** (1992), 258-263

MSC (2000):
Primary 33D70; Secondary 05A19, 11B65, 11P83

MathSciNet review:
1118702

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Abstract | References | Similar Articles | Additional Information

Abstract: 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 or symplectic groups. The classical case, corresponding to or equivalently , 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 the classical work of Rogers, Bailey, Slater, Andrews, and Bressoud.

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DOI:
https://doi.org/10.1090/S0273-0979-1992-00268-9

Article copyright:
© Copyright 1992
American Mathematical Society