Non extensive Statistical Mechanics. Asymptotic Functions

We introduce the 2 function with n degrees of freedom as a Tsallis distribution. We take the probability function for two 2 independent variables X and Y of degree n and m , respectively, and we obtain the explicit expressions for the limits n and m . Integrating these expressions as weight functions and the usual Boltzmann-Gibbs factor over the inverse temperature we obtain the canonical distribution for a system with Hamiltonian H. Finally, we deduce the probability distributions for the generalized velocity when H = u2/2 . (Author) 40 refs