2 citations · 3 across the 4 of their papers we have counts for
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Koenigs functions in the subcritical and critical Markov branching processes with Poisson probability reproduction of particles
Penka Mayster, Assen Tchorbadjieff
Special functions have always played a central role in physics and in mathematics, arising as solutions of nonlinear differential equations, as well as in the theory of branching p…
Transformation of the discrete stable process via branching reproduction environment
Maroussia Slavtchova-Bojkova, Penka Mayster
The current paper focuses on studying the impact of immigration with an infinite mean, driven by a discrete-stable compound Poisson process, when it is entering the branching envir…
Extended Sibuya distribution in the Subcritical Markov Branching processes
Penka Mayster, Assen Tchorbadjieff
The subcritical Markov branching process X(t) starting with one particle as the initial condition has the ultimate extinction probability q = 1. The branching mechanism in consider…
Logarithmic Lévy process directed by Poisson subordinator
Penka Mayster, Assen Tchorbadjieff
Let be a Lévy process with representative random variable defined by the infinitely divisible logarithmic series distribution. We study here the transitio…