A Further analysis of the blackbody radiation

A review of the classical deduction of the Rayleigh-Jeans formula is done. By using the same procedure but substituting the Abraham-Lorentz equation by the Eliezer-Ford equation, we derive another expression for the frequency energy density of a blackbody. In the new formulation the new frequency energy density does not diverge, even though the ultraviolet catastrophe still appears because the integral over the frequency is infinite. Thus, the consequences of the new formulation are discussed and its uselfulness is analyzed.