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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