Koenigs function and branching processes

2001/01/11 by O. G. Tchikilev, Tchikilev, O. G.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Fractional Differential Equations Solutions #High Energy Physics - Phenomenology (hep-ph) #Random Matrices and Applications #Stochastic processes and statistical mechanics #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0101117

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

openalex publication_date 2001/01/11 · arxiv created 2001/02/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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).

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