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Inequalities for Mathieu’s series and positive definiteness. (Russian) Zbl 1265.33038

Summary: Exact inequalities are obtained for Mathieu’s series. A connection is established among inequalities for Mathieu’s series and positive definite and completely monotonic functions.

MSC:

33E10 Lamé, Mathieu, and spheroidal wave functions
26D15 Inequalities for sums, series and integrals
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References:

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