Geodesic
A determinant identity that implies Rogers-Ramanujan
The electronic journal of combinatorics, Tome 12 (2005)
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We give a combinatorial proof of a general determinant identity for associated polynomials. This determinant identity gives rise to new polynomial generalizations of known Rogers-Ramanujan type identities. Several examples of new Rogers-Ramanujan type identities are given.
DOI : 10.37236/1932
Classification : 05A30, 33C45
Mots-clés : Rogers-Ramanujan type identities 
@article{10_37236_1932,
     author = {Kristina C. Garrett},
     title = {A determinant identity that implies {Rogers-Ramanujan}},
     journal = {The electronic journal of combinatorics},
     year = {2005},
     volume = {12},
     doi = {10.37236/1932},
     zbl = {1084.05010},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1932/}
}
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%A Kristina C. Garrett
%T A determinant identity that implies Rogers-Ramanujan
%J The electronic journal of combinatorics
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%R 10.37236/1932
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Kristina C. Garrett. A determinant identity that implies Rogers-Ramanujan. The electronic journal of combinatorics, Tome 12 (2005). doi: 10.37236/1932

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