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arxiv: 0901.1104 · v1 · submitted 2009-01-08 · 🧮 math.CA

Mathieu's series: inequalities, asymptotics and positive definiteness

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keywords inequalitiesmathieuseriesasymptoticspositiveasymptoticalcasescompletely
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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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