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q-Difference Equations and Identities of the Rogers-Ramanujan-Bailey Type.
- Source :
- Journal of Difference Equations & Applications; Oct2004, Vol. 10 Issue 12, p1069-1084, 16p
- Publication Year :
- 2004
-
Abstract
- in a recent paper. I defined the "standard multiparameter Bailey pair" (SMPBP) and demonstrated that all of the classical Bailey pairs considered by W.N. Bailey in his famous paper (Proc. London Math. Soc. (2), 50 ( 1948), 1-10) arose as special cases of the SMPBP. Additionally. I was able to find a number of new Rogers-Ramanujan type identities. From a given Bailey pair. normally only one or two Rogers-Ramanujan type identities follow immediately. In this present work, I present the set of q-difference equations associated with the SMPBP, and use these q-difference equations to deduce the complete families of Rogers-Ramanujan type identities. [ABSTRACT FROM AUTHOR]
- Subjects :
- DIFFERENCE equations
MATHEMATICAL analysis
MATHEMATICAL optimization
EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 10236198
- Volume :
- 10
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- Journal of Difference Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 15306345
- Full Text :
- https://doi.org/10.1080/10236190412331314169