Koenigs function and branching processes

Abstract

An explicit solution of time-homogeneous pure birth branching processes is described. It gives alternative extensions for the negative binomial distribution (branching processes with immigration) and for the Furry-Yule distribution (branching processes without immigration).

6 pages, LATEX, sprocl.sty, to be published in Proc. of the ISMD2000, Tihany, Hungary. Editor corrections are included