ar X iv : 0 80 5 . 22 74 v 1 [ m at h - ph ] 1 5 M ay 2 00 8 A note on the Voigt profile function ∗
نویسندگان
چکیده
A Voigt profile function emerges in several physical investigations (e.g. atmospheric radiative transfer, astrophysical spectroscopy, plasma waves and acoustics) and it turns out to be the convolution of the Gaus-sian and the Lorentzian densities. Its relation with a number of special functions has been widely derived in literature starting from its Fourier type integral representation. The main aim of the present paper is to introduce the Mellin-Barnes integral representation as a useful tool to obtain new analytical results. Here, starting from the Mellin-Barnes integral representation, the Voigt function is expressed in terms of the Fox H-function which includes representations in terms of the Mei-jer G-function and previously well-known representations with other special functions.
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تاریخ انتشار 2008