We give explicit solutions of the Fokker-Planck equation in the case o
f a maxwellian potential, i.e. a potential decreasing in 1/r4. We limi
t our study to the distribution function depending only on time t and
on module of molecules velocity. In order to simplify the expressions
of the distribution function, we will introduce, at the end of this No
te, a family of polynomials.