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math.PR2025★ 1 cited
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…
math.PR2025
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…