Geodesic
Schur's Determinants and Partition Theorems
Séminaire lotharingien de combinatoire, Tome 44 (2000-2001)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

Garrett, Ismail, and Stanton gave a general formula that contains the Rogers-Ramanujan identities as special cases. The theory of associated orthogonal polynomials is then used to explain determinants that Schur introduced in 1917 and show that the Rogers-Ramanujan identities imply the Garrett, Ismail, and Stanton seemingly more general formula. Using a result of Slater a continued fraction is explicitly evaluated. 

@article{SLC_2000-2001_44_a0,
     author = {Mourad E. H. Ismail and Helmut Prodinger and Dennis Stanton},
     title = {Schur's {Determinants} and {Partition} {Theorems}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {44},
     year = {2000-2001},
     url = {http://geodesic.mathdoc.fr/item/SLC_2000-2001_44_a0/}
}
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Mourad E. H. Ismail; Helmut Prodinger; Dennis Stanton. Schur's Determinants and Partition Theorems. Séminaire lotharingien de combinatoire, Tome 44 (2000-2001). http://geodesic.mathdoc.fr/item/SLC_2000-2001_44_a0/