Helmut Prodinger
Published 2001-03-24Version 1
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.
Comments: Avoid recursions, use generating functions
Matrix integrals and generating functions for enumerating rooted hypermaps by vertices, edges and faces for a given number of darts
Generating functions for moments of the quasi-nilpotent DT-operator
Mixed powers of generating functions
![QR code for arXiv:math/0103149 [math.CO]](http://oss.arxitics.com/images/favicon.svg)