A note on series with recursively defined terms
Classical Analysis and ODEs
2018-03-16 v1
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.
Keywords
Cite
@article{arxiv.1803.05523,
title = {A note on series with recursively defined terms},
author = {Tamás Forgács and Jack Luong and Joshua Williamson},
journal= {arXiv preprint arXiv:1803.05523},
year = {2018}
}