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 | |
| Publication status | Published - 2013 |
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Paris, R. B. (2013). The asymptotic expansion of a generalised Mathieu series. Applied Mathematical Sciences, 7(125), 6209-6216. https://doi.org/10.12988/ams.2013.39492