Explicit solutions for Koenigs functions in Poisson branching processes give limit conditional laws in subcritical cases and invariant measures in critical cases using Bell polynomials and Ein(z).
Mode,Stochastic Processes in Demography and Their Computer Implementation, Springer
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Koenigs functions in the subcritical and critical Markov branching processes with Poisson probability reproduction of particles
Explicit solutions for Koenigs functions in Poisson branching processes give limit conditional laws in subcritical cases and invariant measures in critical cases using Bell polynomials and Ein(z).