Extension of the Bertrand–De Morgan Test and Its Application

@article{Abramov2020ExtensionOT,
  title={Extension of the Bertrand–De Morgan Test and Its Application},
  author={Vyacheslav M. Abramov},
  journal={The American Mathematical Monthly},
  year={2020},
  volume={127},
  pages={444 - 448}
}
  • V. Abramov
  • Published 10 January 2019
  • Mathematics
  • The American Mathematical Monthly
Abstract We provide a simple proof for the extended Bertrand–De Morgan test that was earlier studied in [Ďuriš, F., (2009). Infinite series: Convergence tests. Bachelor thesis, Univerzita Komenského, Bratislava, Slovakia] and [Tabatabai Adnani, A. A., Reza, A., Morovati, M. (2013). J. Lin. Topol. Algebra. 2(3): 141–147] and demonstrate an application of that test to the theory of birth-and-death processes. 
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