New Finite Rogers-Ramanujan Identities
Combinatorics
2011-03-25 v4
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.
Cite
@article{arxiv.math/0604407,
title = {New Finite Rogers-Ramanujan Identities},
author = {Victor J. W. Guo and Frederic Jouhet and Jiang Zeng},
journal= {arXiv preprint arXiv:math/0604407},
year = {2011}
}
Comments
19 pages. to appear in Ramanujan J