The asymptotic expansion of a generalised Mathieu series

Richard B. Paris

Research output: Contribution to journal › Article

1 Citation (Scopus)
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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 languageEnglish
Pages (from-to)6209-6216
Number of pages8
JournalApplied Mathematical Sciences
Volume7
Issue number125
DOIs
Publication statusPublished - 2013

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Mellin Transform
Asymptotic Expansion
Numerical Examples
Series
Demonstrate

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Paris, Richard B. / The asymptotic expansion of a generalised Mathieu series. In: Applied Mathematical Sciences. 2013 ; Vol. 7, No. 125. pp. 6209-6216.
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Paris, RB 2013, 'The asymptotic expansion of a generalised Mathieu series', Applied Mathematical Sciences, vol. 7, no. 125, pp. 6209-6216. https://doi.org/10.12988/ams.2013.39492

The asymptotic expansion of a generalised Mathieu series. / Paris, Richard B.

In: Applied Mathematical Sciences, Vol. 7, No. 125, 2013, p. 6209-6216.

Research output: Contribution to journal › Article

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AU - Paris, Richard B.

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DO - 10.12988/ams.2013.39492

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Paris RB. The asymptotic expansion of a generalised Mathieu series. Applied Mathematical Sciences. 2013;7(125):6209-6216. https://doi.org/10.12988/ams.2013.39492

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