Geodesic
Schur's Determinants and Partition Theorems
Séminaire lotharingien de combinatoire, Tome 44 (2000-2001) 
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/
@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},
     year = {2000-2001},
     volume = {44},
     url = {http://geodesic.mathdoc.fr/item/SLC_2000-2001_44_a0/}
}
TY  - JOUR
AU  - Mourad E. H. Ismail
AU  - Helmut Prodinger
AU  - Dennis Stanton
TI  - Schur's Determinants and Partition Theorems
JO  - Séminaire lotharingien de combinatoire
PY  - 2000-2001
VL  - 44
UR  - http://geodesic.mathdoc.fr/item/SLC_2000-2001_44_a0/
ID  - SLC_2000-2001_44_a0
ER  - 
%0 Journal Article
%A Mourad E. H. Ismail
%A Helmut Prodinger
%A Dennis Stanton
%T Schur's Determinants and Partition Theorems
%J Séminaire lotharingien de combinatoire
%D 2000-2001
%V 44
%U http://geodesic.mathdoc.fr/item/SLC_2000-2001_44_a0/
%F SLC_2000-2001_44_a0

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.