The asymptotic expansion of a generalised Mathieu series

Richard B. Paris

doi:10.12988/ams.2013.39492

The asymptotic expansion of a generalised Mathieu series

Richard B. Paris

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Abstract

We obtain the asymptotic expansion of a generalised Mathieu series and its alternating variant for large complex values of the variable by means of a Mellin transform approach. Numerical examples are presented to demonstrate the accuracy of these expansions.

Original language	English
Pages (from-to)	6209-6216
Number of pages	8
Journal	Applied Mathematical Sciences
Volume	7
Issue number	125
DOIs	https://doi.org/10.12988/ams.2013.39492
Publication status	Published - 2013

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Paris_TheAsymptoticExpansionOfAGeneralisedMathieuSeries_2013_PublishedFinal published version, 110 KBLicence: CC BY

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The asymptotic expansion of a generalised Mathieu series

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