Geodesic
On refinements of the asymptotics expansion of the continuation of critical branching random processes
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 32 (2020) no. 3, pp. 42-54

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In this paper, an asymptotic expansion is obtained for the probability of continuation of critical branching processes under the assumptions of the existence of factorial moments $\lambda_k$ at $k = 5,6,\ldots,m, m \infty$.
Keywords: branching random process, probability of continuation, critical branching processes, factorial moments, generating functions, probability of degeneration of the process. 
@article{VKAM_2020_32_3_a3,
     author = {Sh. Yu. Jurayev},
     title = {On refinements of the asymptotics expansion of the continuation of critical branching random processes},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {42--54},
     publisher = {mathdoc},
     volume = {32},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2020_32_3_a3/}
}
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Sh. Yu. Jurayev. On refinements of the asymptotics expansion of the continuation of critical branching random processes. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 32 (2020) no. 3, pp. 42-54. http://geodesic.mathdoc.fr/item/VKAM_2020_32_3_a3/