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Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales
versión impresa ISSN 0370-3908
Resumen
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.
Palabras clave : Voigt function; Bessel function; Parabolic function; Hypergeometric function and Laguerre polynomials.