Continued fraction expression of the Mathieu series
Classical Analysis and ODEs
2015-08-04 v1 Number Theory
Abstract
In this paper, we represent a continued fraction expression of Mathieu series by a continued fraction formula of Ramanujan. As application, we obtain some new bounds for Mathieu series.
Cite
@article{arxiv.1508.00177,
title = {Continued fraction expression of the Mathieu series},
author = {Xiaodong Cao and Yoshio Tanigawa and Wenguang Zhai},
journal= {arXiv preprint arXiv:1508.00177},
year = {2015}
}