Extension of the Bertrand–De Morgan Test and Its Application

DOI10.1080/00029890.2020.1722551zbMath1450.40001arXiv1901.05843OpenAlexW3020597531MaRDI QIDQ5109358

Vyacheslav M. Abramov

Publication date: 11 May 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05843

zbMATH Keywords

convergence of seriesBertrand-De Morgan testbirth-and death process

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Necessary and sufficient conditions for the convergence of positive series ⋮ CONDITIONS FOR RECURRENCE AND TRANSIENCE FOR TIME-INHOMOGENEOUS BIRTH-AND-DEATH PROCESSES ⋮ A new test for convergence of positive series

Cites Work

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• Correction to: ``Conservative and semiconservative random walks: recurrence and transience
• The Classification of Birth and Death Processes
• Kummer's Test Gives Characterizations for Convergence or Divergence of all Positive Series
• More on Kummer's Test

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