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. 
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/
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     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},
     year = {2020},
     volume = {32},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2020_32_3_a3/}
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