Geodesic
On a Functional-Difference Equation of Runyon, Morrison, Carlitz, and Riordan
Séminaire lotharingien de combinatoire, Tome 46 (2001-2002) 
Helmut Prodinger. On a Functional-Difference Equation of Runyon, Morrison, Carlitz, and Riordan. Séminaire lotharingien de combinatoire, Tome 46 (2001-2002). http://geodesic.mathdoc.fr/item/SLC_2001-2002_46_a0/
@article{SLC_2001-2002_46_a0,
     author = {Helmut Prodinger},
     title = {On a {Functional-Difference} {Equation} of {Runyon,} {Morrison,} {Carlitz,} and {Riordan}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2001-2002},
     volume = {46},
     url = {http://geodesic.mathdoc.fr/item/SLC_2001-2002_46_a0/}
}
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TI  - On a Functional-Difference Equation of Runyon, Morrison, Carlitz, and Riordan
JO  - Séminaire lotharingien de combinatoire
PY  - 2001-2002
VL  - 46
UR  - http://geodesic.mathdoc.fr/item/SLC_2001-2002_46_a0/
ID  - SLC_2001-2002_46_a0
ER  - 
%0 Journal Article
%A Helmut Prodinger
%T On a Functional-Difference Equation of Runyon, Morrison, Carlitz, and Riordan
%J Séminaire lotharingien de combinatoire
%D 2001-2002
%V 46
%U http://geodesic.mathdoc.fr/item/SLC_2001-2002_46_a0/
%F SLC_2001-2002_46_a0

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

A certain functional-difference equation that Runyon encountered when analyzing a queuing system was solved in a combined effort of Morrison, Carlitz, and Riordan. We simplify that analysis by exclusively using generating functions, in particular the kernel method, and the Lagrange inversion formula.