Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals

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dc.creatorMainardi, Francesco
dc.creatorPagnini, Gianni
dc.date2007-02-18
dc.date.accessioned2026-07-07T07:47:33Z
dc.date.available2026-07-07T07:47:33Z
dc.descriptionThe 1888 paper by Salvatore Pincherle (Professor of Mathematics at the University of Bologna) on generalized hypergeometric functions is revisited. We point out the pioneering contribution of the Italian mathematician towards the Mellin-Barnes integrals based on the duality principle between linear differential equations and linear difference equation with rational coefficients. By extending the original arguments used by Pincherle, we also show how to formally derive the linear differential equation and the Mellin-Barnes integral representation of the Meijer G-functions.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0702520
dc.identifierhttp://arxiv.org/abs/math/0702520
dc.identifierJournal of Computational and Applied Mathematics, Vol. 153 (2003), pp. 331-342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124203
dc.subjectComplex Variables
dc.subjectHistory and Overview
dc.subject33E30, 33C20, 33C60, 34-XX, 39-XX, 01-99
dc.titleSalvatore Pincherle: the pioneer of the Mellin-Barnes integrals
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