Tsallis and Kaniadakis Entropic Measures in Polytropic, Logarithmic and Exponential Functions

Among nonextensive statistical approaches, those proposed by Constantino Tsallis and Giorgio Kaniadakis had been involved in the study of several physical phenomena. Here, we will discuss the case of the polytropic solutions of self-gravitating fluid spheres used in astrophysics as approximate stellar models. We will see how, in this problem, Tsallis and Kaniadakis entropic measures are related. After, following the same approach, we will find the links between generalized logarithms and exponential functions of the abovementioned entropic measures