# 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} }

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.

## 7 Citations

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