Regular Variation and Raabe

2018/08/06 by Christopher N. B. Hammond, Hammond, Christopher N. B., Edward Omey +1
Engineering · Mathematics · #26A12 #26D12 #40A05 #Classical Analysis and ODEs (math.CA) #Diverse Scientific and Engineering Research #FOS: Mathematics #Probability and Statistical Research #Statistical Distribution Estimation and Applications

paper · pdf · doi:10.48550/arxiv.1808.01898

openalex publication_date 2018/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There are many tests for determining the convergence or divergence of series. The test of Raabe and the test of Betrand are relatively unknown and do not appear in most classical courses of analysis. Also, the link between these tests and regular variation is seldomly made. In this paper we offer a unified approach to some of the classical tests from a point of view of regular varying sequences.

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