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New representations of the Voigt functions

Pathan M., Shahwan M.

Demonstratio Mathematica

2006

Vol. 39, nr 1

75-80

This paper aims at some representations of generalized Voigt functions and their extensions in terms of series and integrals which are specially useful in situations when the parameters take on particular values. Explicit representations of these functions are given in terms of familiar special functions of one and two variables. The Voigt integrals and series resulting in connections with the Lommel, Struve, Laguerre and parabolic cylinder functions and ultimately the Kampe de Feriet function will follow as natural consequences for analytical evaluations and uses.