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arXiv · 0901.1104

Mathieu's series: inequalities, asymptotics and positive definiteness

Viktor P. Zastavnyi
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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.

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Viktor P. Zastavnyi. 2009-01-08. Mathieu's series: inequalities, asymptotics and positive definiteness. https://arxiv.org/abs/0901.1104

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