- Tytuł:
- Evaluation of the Asymmetric Voigt Profile and Complex Error Functions in Terms of the Kummer Functions
- Autorzy:
-
Di Rocco, H. O.
Aguirre Téllez, M. - Powiązania:
- https://bibliotekanauki.pl/articles/2041591.pdf
- Data publikacji:
- 2004-12
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
32.70.Jz
33.70.Jg
34.20.Cf - Opis:
- In this work we present the explicit representations of the Voigt function K(a,b) (the convolution between a Gaussian and a Lorentzian function), the function N(a,b) defined as the convolution of Gaussian and dispersion distributions as well as the complex error function erf(a+ib), all in terms of the Kummer functions M(α,γ,a$\text{}^{2}$). The expansions are valid for all values of the parameter a (the relation between Lorentzian and Gaussian widths at the half maxima). Previous analytical works were known only when the parameter a≤1, or were based on numerical interpolations or empirical approximations. Also, new series and asymptotic expansions are presented.
- Źródło:
-
Acta Physica Polonica A; 2004, 106, 6; 817-826
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł