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Mathematics > Classical Analysis and ODEs

Title: A note on series with recursively defined terms

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.
Subjects: Classical Analysis and ODEs (math.CA)
MSC classes: 40A05
Cite as: arXiv:1803.05523 [math.CA]
  (or arXiv:1803.05523v1 [math.CA] for this version)

Submission history

From: Tamás Forgács [view email]
[v1] Wed, 14 Mar 2018 22:28:40 GMT (6kb)