Exponential asymptotics of the Voigt functions

R. B. Paris

Research output: Contribution to journal › Article

2 Citations (Scopus)
24 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

Fingerprint

Exponential Asymptotics
Stokes
Asymptotic Expansion
Numerical Examples
Demonstrate

Cite this

Paris, R. B. / Exponential asymptotics of the Voigt functions. In: Zeitschrift für angewandte Mathematik und Physik. 2015 ; Vol. 66, No. 3. pp. 563–572.
@article{0e4e7849f7e44350947eb39772aa1e95,
title = "Exponential asymptotics of the Voigt functions",
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.",
author = "Paris, {R. B.}",
year = "2015",
month = "6",
day = "1",
doi = "10.1007/s00033-014-0437-2",
language = "English",
volume = "66",
pages = "563–572",
journal = "Zeitschrift fur Angewandte Mathematik und Physik",
issn = "0044-2275",
publisher = "Birkhauser Verlag Basel",
number = "3",

}

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

TY - JOUR

T1 - Exponential asymptotics of the Voigt functions

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.

U2 - 10.1007/s00033-014-0437-2

DO - 10.1007/s00033-014-0437-2

M3 - Article

VL - 66

SP - 563

EP - 572

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

SN - 0044-2275

IS - 3

ER -

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

Access to Document