Mathieu's series: inequalities, asymptotics and positive definiteness
Classical Analysis and ODEs
2009-01-09 v1
Abstract
Inequalities, asymptotics and, for some specific cases, asymptotical expansions were obtained for generalized Mathieu's series. A connection between inequalities for Mathieu's series and positive definite and completely monotonic functions.
Cite
@article{arxiv.0901.1104,
title = {Mathieu's series: inequalities, asymptotics and positive definiteness},
author = {Viktor P. Zastavnyi},
journal= {arXiv preprint arXiv:0901.1104},
year = {2009}
}
Comments
26 pages