Analytical properties and applications of the Wright function

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dc.creatorGorenflo, Rudolf
dc.creatorLuchko, Yuri
dc.creatorMainardi, Francesco
dc.date2007-01-28
dc.date.accessioned2026-07-07T07:43:32Z
dc.date.available2026-07-07T07:43:32Z
dc.descriptionIn this survey paper we consider some applications of the Wright function with special emphasis of its key role in the partial differential equations of fractional order. It was found that the Green function of the time-fractional diffusion-wave equation can be represented in terms of the Wright function. Furthermore, extending the methods of Lie groups in partial differential equations to the partial differential equations of fractional order it was shown that some of the group-invariant solutions of these equations can be given in terms of the Wright and the generalized Wright functions.Finally, we discuss recent results about distribution of zeros of the Wright function, its order, type and indicator function.
dc.description34 pages. 3rd Workshop TMSF (Transform Methods and Special Functions)Sofia, Bulgaria, 1999
dc.identifierhttps://arxiv.org/abs/math-ph/0701069
dc.identifierhttp://arxiv.org/abs/math-ph/0701069
dc.identifierFractional Calculus and Applied Analysis, Vol. 2 No 4 (1999) 383-414
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122862
dc.subjectMathematical Physics
dc.subjectComplex Variables
dc.subject33E20,33C20, 30C15, 30D15, 26A33, 45J05, 45K05
dc.titleAnalytical properties and applications of the Wright function
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