  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 Gaussian 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 Meijer G-function and previously well-known
representations with other special functions.
