On the effective radius of convergence for a given truncated power series expansion
Functional Analysis
2013-12-10 v1
Abstract
An effective radius of convergence is defined and computed for any truncated Taylor series. Applications to well known series are performed and is shown that a range of good coincidence for actual and approximative plot can always be found. For sufficient large degree of approximation the effective radius is also an estimation of the true non-infinite radius of convergence.
Keywords
Cite
@article{arxiv.1312.2395,
title = {On the effective radius of convergence for a given truncated power series expansion},
author = {Demetris T. Christopoulos},
journal= {arXiv preprint arXiv:1312.2395},
year = {2013}
}
Comments
11 pages, 7 figures