Mathieu's series: inequalities, asymptotics and positive definiteness

Details Mathieu's series: inequalities, asymptotics and positive definiteness Mathieu's series: inequalities, asymptotics and positive definiteness

2009-01-08

arxiv.org/abs/0901.1104v1

Mathematics

Classical Analysis and ODEs

26 pages

Scientific paper

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.

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