On a functional-difference equation of Runyon, Morrison, Carlitz, and Riordan
Combinatorics
2007-05-23 v1
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.
Cite
@article{arxiv.math/0103149,
title = {On a functional-difference equation of Runyon, Morrison, Carlitz, and Riordan},
author = {Helmut Prodinger},
journal= {arXiv preprint arXiv:math/0103149},
year = {2007}
}
Comments
Avoid recursions, use generating functions