  Relying on the quantum tunneling concept and the Maxwell-Boltzmann-Gibbs
statistics, Gamow shows that the star burning process happens at temperatures
comparable to a critical value, called the Gamow temperature ($\texttt{T}$) and
less than the prediction of the classical framework. In order to highlight the
role of the equipartition theorem in the Gamow argument, a thermal length scale
is defined and thereinafter, the effects of non-extensivity on the Gamow
temperature have been investigated focusing on the Tsallis and Kaniadakis
statistics. The results attest that while the Gamow temperature decreases in
the framework of the Kaniadakis statistics, it can be bigger or smaller than
$\texttt{T}$ when the Tsallis statistics is employed.
