Exponential asymptotics of the Voigt functions

R. B. Paris

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    2 Citations (Scopus)
    105 Downloads (Pure)


    We obtain the asymptotic expansion of the Voigt functionss K(x, y) and L(x, y) for large (real) values of the variables x and y, paying particular attention to the exponentially small contributions. A Stokes phenomenon is encountered as y→+∞y→+∞ with x > 0 fixed. Numerical examples are presented to demonstrate the accuracy of these new expansions.
    Original languageEnglish
    Pages (from-to)563–572
    Number of pages10
    JournalZeitschrift für angewandte Mathematik und Physik
    Issue number3
    Early online date6 Jul 2014
    Publication statusPublished - 1 Jun 2015


    • 30E15
    • 33E20
    • 33C15
    • 34E05
    • 41A60
    • Voigt functions
    • Asymptotic expansions
    • Exponential asymptotics


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