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.
F. MAINARDI, A.MURA, G.PAGNINI (2010). The function of the Wright type in fractional calculus. POTENZA : UNIVERSITA della BASILICATA.
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.File in questo prodotto:
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