We provide a survey of the high transcendental functions known in the literature as Wright functions. We devote particular attention for two functions of the Wright type, which, in virtue of their role in applications of fractional calculus, we have called auxiliary functions. We also discuss their relevance in probability theory showing their connections with Levy stable distributions. At the end, we add some historical and bibliographical notes.

The function of the Wright type in fractional calculus

MAINARDI, FRANCESCO;
2010

Abstract

We provide a survey of the high transcendental functions known in the literature as Wright functions. We devote particular attention for two functions of the Wright type, which, in virtue of their role in applications of fractional calculus, we have called auxiliary functions. We also discuss their relevance in probability theory showing their connections with Levy stable distributions. At the end, we add some historical and bibliographical notes.
Lecture Notes of Seminario Interdisciplnare di Matematica
111
128
F. MAINARDI; A.MURA; G.PAGNINI
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/96513
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