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Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales

Print version ISSN 0370-3908

Abstract

PATHAN, M.A.. Integral transforms and extended Voigt functions. Rev. acad. colomb. cienc. exact. fis. nat. [online]. 2019, vol.43, n.167, pp.311-318. ISSN 0370-3908.  https://doi.org/10.18257/raccefyn.778.

In this paper we introduce a generalization of the Voigt functions and discuss their properties and applications. Some interesting explicit series representations, integrals and identities and their link to Jacobi,Laguerre and Hermite polynomials are obtained. The resulting formulas allow a considerable unification of various special results which appear in the literature. © 2019. Acad. Colomb. Cienc. Ex. Fis. Nat.

Keywords : Voigt function; Bessel function; Parabolic function; Hypergeometric function and Laguerre polynomials.

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