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Exponential asymptotics of the Voigt functions (1403.7978v1)
Published 31 Mar 2014 in math.CA
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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