Exponential asymptotics of the Voigt functions
Paris, R B
Original · EN
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→+∞ with x>0 fixed. Numerical examples are presented to demonstrate the accuracy of these new expansions.
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