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On a functional-difference equation of Runyon, Morrison, Carlitz, and Riordan

Helmut Prodinger
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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.

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Helmut Prodinger. 2001-03-24. On a functional-difference equation of Runyon, Morrison, Carlitz, and Riordan. https://arxiv.org/abs/math/0103149

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