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Content available remote New representations of the Voigt functions
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.
Content available remote Asymptotic formulas for unified elliptic-type integrals
The object of this article is to present a unification and generalisation of certain families of elliptic-type integrals which were studied in a number of earlier works on the subject due to their importance for possible applications in certain problems arising in radiation physics and nuclear technology. The results obtained are of general character and include the investigations carried out by several authors including Srivastava and Siddiqi, Kalla and Tuan, Al-Zamel et al and Saxena et al.
In this paper, the focus is on the results which involve exponential functions. The results of Pathan and Yasmeen [6] and Exton [3] are used with a view to obtaining generating functions which are partly unilateral and partly bilateral.
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