Abstract
In a previous paper, the discovery of further Rogers-Ramanujan type identities from new Bailey Lemmas was discussed. In that paper, the starting point was a product of independent Jacobi triple products. In this paper, we start from the quintuple product.
ArticleNote
Partially supported by the National Science Foundation under Grant DMS-9206993.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G.E. Andrews, q-Difference equations for certain well-poised basic hypergeometric series, Quart. J. Math., Oxford Ser. 19 433–447, 1968.
G.E. Andrews, The Theory of Partitions Encycl. of Math and Its Appl., Vol. 2, G.-C. Rota Ed., Addison-Wesley, REading Mass. 1976. Reissued: Cambridge University Press, Cambridge, 1988.
G.E. Andrews, Multiple series Rogers-Ramanujan identities, Pacific J. Math. 114 267–283, 1984.
G.E. Andrews, Umbral calculus, Bailey chains, and pentagonal number theorems, J. Comb. Th., Ser. A 91 464–475, 2000.
G. Gasper and M. Rahman, Basic Hypergeometric Series, Encycl. of Math. and Its Appl., Vol. 35, G.-C. Rota Ed., Cambridge University Press, Cambridge, 1990.
L.J. Rogers, On two theorems of combinatory analysis and some allied identities, Proc. London Math. Soc. 16(2) 315–336, 1917.
L.J. Slater, Further identities of the Rogers-Ramanujan type, Proc. London Math. Soc. 54(2) 147–167, 1952.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Basel AG
About this paper
Cite this paper
Andrews, G.E. (2002). A Bailey Lemma from the Quintuple Product. In: Agarwal, A.K., Berndt, B.C., Krattenthaler, C.F., Mullen, G.L., Ramachandra, K., Waldschmidt, M. (eds) Number Theory and Discrete Mathematics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8223-1_4
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8223-1_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9481-4
Online ISBN: 978-3-0348-8223-1
eBook Packages: Springer Book Archive