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

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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.
Avoid recursions, use generating functions

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Combinatorics, 04A15

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http://salesiana.dossiersoluciones.com/handle/123456789/61126

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103149
 http://arxiv.org/abs/math/0103149

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arXiv