The asymptotic expansion of a generalised Mathieu series

Richard B. Paris

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    2 Citations (Scopus)
    94 Downloads (Pure)

    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

    Keywords

    • Asymptotic expansions
    • Generalised Mathieu series
    • Mellin transform method

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