Asymptotic expansion of a function defined by power series
Classical Analysis and ODEs
2010-06-21 v2
Abstract
We present a sufficient condition of existence of asymptotic expansion in negative power series for a function defined by Taylor series and unitary formulas for coefficients of this expansion. An example of computing scheme for arctangent function is represented.
Cite
@article{arxiv.1006.0178,
title = {Asymptotic expansion of a function defined by power series},
author = {Mihail Nikitin},
journal= {arXiv preprint arXiv:1006.0178},
year = {2010}
}
Comments
25 pages, no figures. Some new results added