Koenigs function and branching processes

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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

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