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New class of reference distribution functions for numerical approximation ofthe solution of the Fokker-Planck equations associated to the charged particledynamics in tokamak are studied. The reference distribution functions areobtained by maximization of the generalized Renyi entropy under scale-invariantrestrictions. Explicit analytic form, with algebraic decay, that is ageneralization of the previous distribution with exponential tails was derived.

Maximal entropy distribution functions from generalized R\'enyi entropy