New Finite Rogers-Ramanujan Identities

Details New Finite Rogers-Ramanujan Identities New Finite Rogers-Ramanujan Identities

2006-04-18

arxiv.org/abs/math/0604407v4

Ramanujan J. 19 (2009), 247--266

Mathematics

Combinatorics

19 pages. to appear in Ramanujan J

Scientific paper

10.1007/s11139-009-9182-0

We present two general finite extensions for each of the two Rogers-Ramanujan
identities. Of these one can be derived directly from Watson's transformation
formula by specialization or through Bailey's method, the second similar
formula can be proved either by using the first formula and the q-Gosper
algorithm, or through the so-called Bailey lattice.

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