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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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