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Models of dielectric relaxation based on completely monotone functions
Roberto Garrappa, Francesco Mainardi, Guido Maione
The relaxation properties of dielectric materials are described, in the frequency domain, according to one of the several models proposed over the years: Kohlrausch-Williams-Watts,…
On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics
Francesco Mainardi, Roberto Garrappa
The three parameters Mittag--Leffler function (often referred as the Prabhakar function) has important applications, mainly in physics of dielectrics, in describing anomalous relax…
On Volterra functions and Ramanujan integrals
Roberto Garrappa, Francesco Mainardi
Volterra functions were introduced at the beginning of the twentieth century as solutions of some integral equations of convolution type with logarithmic kernel. Since then, few au…