Change of base in Bailey pairs

Ramanujan Journal

Volumn 4, Issue 4, 2000, Pages 435-453

  Bressoud, D ^a   Ismail, M E H ^b   Stanton, D ^c  

^a MACALESTER COLLEGE   (United States)

^b UNIVERSITY OF SOUTH FLORIDA   (United States)

^c UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Bailey lemma; Bailey pairs; Rogers Ramanujan identities; Virasoro characters

Indexed keywords

EID: 0034345633     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009824218230     Document Type: Article

References (13)

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3. G. Andrews, "Multiple series Rogers-Ramanujan type identities," Pac. J. Math. 114 (1984) 267-283.
4. G. Andrews, q-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra, AMS, Providence, R.I., 1986. CBMS Regional Conference Series in Mathematics, Vol. 66.
5. W.N. Bailey, "Identities of the Rogers-Ramanujan type," Proc. London Math. Soc. (2) 50 (1949) 1-10.
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8. G. Gasper and M. Rahman, Basic Hypergeometric Series, Cambridge University Press, Cambridge, 1990. Encyclopedia of Mathematics and its Applications, Vol. 35.
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10. E. Melzer, "Supersymmetric analogs of the Andrews-Gordon identities, and related TBA systems," preprint, 1994.
11. L.J. Slater, "A new proof of Rogers's transformations of infinite series," Proc. London Math. Soc. (2) 53 (1951) 460-475.
12. L.J. Slater, "Further identities of the Rogers-Ramanujan type," Proc. London Math. Soc. (2) 54 (1952) 147-167.
13. J. Stembridge, "Hall-Littlewood functions, plane partitions, and the Rogers-Ramanujan identities," Trans. Amer. Math. Soc. 319 (1990) 469-498.