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We revisit the Mittag-Leffler functions of a real variable $t$, with one, twoand three order-parameters $\{\alpha, \beta, \gamma\}$, as far as their Laplacetransform pairs and complete monotonicty properties are concerned. Thesefunctions, subjected to the requirement to be completely monotone for $t>0$,are shown to be suitable models for non--Debye relaxation phenomena indielectrics including as particular cases the classical models referred to asCole-Cole, Davidson-Cole and Havriliak-Negami. We show 3D plots of the responsefunctions and of the corresponding spectral distributions, keeping fixed one ofthe three order-parameters.

Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics