The maximization of Tsallis entropy with complete deformed functions and the problem of constraints

By only requiring the q deformed logarithms (q exponentials) to possess arguments chosen from the entire set of positive real numbers (all real numbers), we show that the q-logarithm (q   exponential) can be written in such a way that its argument varies between 0 and 1 (among negative real numbers) for 1⩽q<21⩽q<2, while the interval 0