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On Application of Slowly Varying Functions with Remainder in the Theory of Galton-Watson Branching Process

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Publication:5853347
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DOI10.17516/1997-1397-2019-12-1-51-57OpenAlexW2915142492MaRDI QIDQ5853347

Azam A. Imomov, Erkin Egamberdievich Tukhtaev

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu734

zbMATH Keywords

generating functionsslowly varying functionsGalton-Watson branching process


Mathematics Subject Classification ID

Probability theory and stochastic processes (60-XX) Integral transforms, operational calculus (44-XX)


Related Items

On asymptotic structure of critical Galton-Watson branching processes allowing immigration with infinite variance



Cites Work

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  • A Tauberian theorem of E. Landau and W. Feller
  • Regularly varying functions in the theory of simple branching processes
  • On a limit structure of the Galton–Watson branching processes with regularly varying generating functions
  • A branching process with mean one and possibly infinite variance
  • On invariant measures for simple branching processes
  • Further notes on branching processes with mean 1
  • Regularly varying functions
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