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New Finite Rogers-Ramanujan Identities

Research paper by Victor J. W. Guo, Frederic Jouhet, Jiang Zeng

Indexed on: 01 Jul '09Published on: 01 Jul '09Published in: Mathematics - Combinatorics



Abstract

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.