A note on series with recursively defined terms

2018/03/14 by Tamás Forgács, Forgács, Tamás, Jack Luong +3
Mathematics · #40A05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:40A05

paper · pdf · doi:10.48550/arxiv.1803.05523

arxiv created 2018/03/14 · arxiv updated 2018/03/16

Abstract

In this note we study the convergence of recursively defined infinite series. We explore the role of the derivative of the defining function at the origin (if it exists), and develop a comparison test for such series which can be used even if the defining function of the series is not differentiable.

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