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 | |
| Publication status | Published - 1 Jun 2015 |
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Paris, R. B. (2015). Exponential asymptotics of the Voigt functions. Zeitschrift für angewandte Mathematik und Physik, 66(3), 563–572. https://doi.org/10.1007/s00033-014-0437-2