Exponential asymptotics of the Voigt functions

R. B. Paris

doi:10.1007/s00033-014-0437-2

Exponential asymptotics of the Voigt functions

R. B. Paris

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Abstract

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 language	English
Pages (from-to)	563–572
Number of pages	10
Journal	Zeitschrift für angewandte Mathematik und Physik
Volume	66
Issue number	3
Early online date	6 Jul 2014
DOIs	https://doi.org/10.1007/s00033-014-0437-2
Publication status	Published - 1 Jun 2015

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abstract = "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.",

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AB - 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.

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Exponential asymptotics of the Voigt functions

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