Some results on generalised voigt functions

Abstract

Recently, Srivastava, Pathan and Kamarujjama established several results for generalised Voigt functions which play an important role in several diverse fields of physics-such as astrophysical spectroscopy and the theory of neutron reactions. In the present paper we aim to generalise some partly bilateral and partly unilateral representations and generating functions of Srivastava et al. by considering a specialised version of the Srivastava-Chen definition of the unified Voigt functions. Several special cases of our main results are mentioned briefly.

A certain class of generating functions involving bilateral series

“…In the usual notation p F q for a generalised hypergeometric function with p numerator and q denominator parameters, let form (see [8,9] (1.5) Exton's generating function (1.3) has since been extended by a number of workers including (for example) Pathan and Yasmeen ( [8] and [9]), Kamarujjama et al [7], Srivastava et al [14], and Gupta et al [4]. The present sequel to these earlier papers is motivated largely by the aforementioned work of Kamarujjama et al [7] in which the generating function in (1.3) was extended to hold true for the product of three…”