Geodesic
Finite Rogers-Ramanujan type identities
The electronic journal of combinatorics, Tome 10 (2003)
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Polynomial generalizations of all 130 of the identities in Slater's list of identities of the Rogers-Ramanujan type are presented. Furthermore, duality relationships among many of the identities are derived. Some of the these polynomial identities were previously known but many are new. The author has implemented much of the finitization process in a Maple package which is available for free download from the author's website.
DOI : 10.37236/1706
Classification : 33D15, 05A17, 05A19, 05A30, 11B65, 11P81, 33F10 
@article{10_37236_1706,
     author = {Andrew V. Sills},
     title = {Finite {Rogers-Ramanujan} type identities},
     journal = {The electronic journal of combinatorics},
     year = {2003},
     volume = {10},
     doi = {10.37236/1706},
     zbl = {1011.05003},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1706/}
}
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Andrew V. Sills. Finite Rogers-Ramanujan type identities. The electronic journal of combinatorics, Tome 10 (2003). doi: 10.37236/1706

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