Exponential asymptotics of the Voigt functions

R. B. Paris

Research output: Contribution to journal › Article

2 Citations (Scopus)
26 Downloads (Pure)

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 languageEnglish
Pages (from-to)563–572
Number of pages10
JournalZeitschrift für angewandte Mathematik und Physik
Volume66
Issue number3
Early online date6 Jul 2014
DOIs
Publication statusPublished - 1 Jun 2015

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Exponential Asymptotics
Stokes
Asymptotic Expansion
Numerical Examples
Demonstrate

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Paris, R. B. / Exponential asymptotics of the Voigt functions. In: Zeitschrift für angewandte Mathematik und Physik. 2015 ; Vol. 66, No. 3. pp. 563–572.
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Paris, RB 2015, 'Exponential asymptotics of the Voigt functions', Zeitschrift für angewandte Mathematik und Physik, vol. 66, no. 3, pp. 563–572. https://doi.org/10.1007/s00033-014-0437-2

Exponential asymptotics of the Voigt functions. / Paris, R. B.

In: Zeitschrift für angewandte Mathematik und Physik, Vol. 66, No. 3, 01.06.2015, p. 563–572.

Research output: Contribution to journal › Article

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AU - Paris, R. B.

PY - 2015/6/1

Y1 - 2015/6/1

N2 - 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.

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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DO - 10.1007/s00033-014-0437-2

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JO - Zeitschrift fur Angewandte Mathematik und Physik

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Paris RB. Exponential asymptotics of the Voigt functions. Zeitschrift für angewandte Mathematik und Physik. 2015 Jun 1;66(3):563–572. https://doi.org/10.1007/s00033-014-0437-2

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