Séminaire Lotharingien de Combinatoire, B46a (2001), 4 pp.
Helmut Prodinger
On a Functional-Difference Equation of Runyon, Morrison,
Carlitz, and Riordan
Abstract.
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.
Received: March 27, 2001; Accepted: May 18, 2001.
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