Some Generalized Equalities for the $q$-Gamma Function

İnci Ege, Emrah Y\'yld\'yr\'ym

The $q$-analogue of the gamma function is defined by $\Gamma_q(x)$ for $x>0$, $0<q<1$. The neutrix and neutrix limit are used to obtain some equalities of the $q$-gamma function for all real values of $x$.