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arXiv · 1403.7978

Exponential asymptotics of the Voigt functions

R B Paris
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Abstract

We obtain the asymptotic expansion of the Voigt functions $K(x,y)$ 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 $y\rightarrow+\infty$ with $x>0$ fixed. Numerical examples are presented to demonstrate the accuracy of these new expansions.

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R B Paris. 2014-03-31. Exponential asymptotics of the Voigt functions. https://arxiv.org/abs/1403.7978

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