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 / F. MAINARDI; A.MURA; G.PAGNINI. - STAMPA. - Vol 9:(2010), pp. 111-128. (Intervento presentato al convegno 4-th International Workshop "Advanced Special Functions and Solutions of PDE's", devoted to Prof. Paolo Emilio RICCI on the occasion of his retirement from the Univesity of Rome (LA SAPIENZA) tenutosi a Sabaudia, Italy nel 25-18 May 2009).
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
