Some unified representations of the Voigt functions
The principal object of this note is to provide a natural further step toward the unified presentations of the Voigt functions K(x,y) and L(x,y) which play a rather important rôle in such diverse fields of physics as astrophysical spectroscopy and the theory of neutron reactions. Explicit representations for these functions, given in terms of some relatively more familiar special functions of one and two variables, are potentially useful in finding many other needed (numerical or analytical) properties of the Voigt functions. Several erroneous recent contributions to the theory of Voigt functions are also corrected here. These include (among other contributions) the main result in a recent paper by \textit{A. Siddiqui} [Astrophys. Space Sci. 167, 263-269 (1990; Zbl 0698.33004)].
scientific article; zbMATH DE number 4200611
scientific article