Mother wavelet functions generalized through q-exponentials

Ernesto P. Borges, Constantino Tsallis, Jose G. V. Miranda +1

We generalize some widely used mother wavelets by means of the q-exponential function $e_q^x\equiv [1+(1-q)x{]}^{1/(1-q)}$ ($q\in \mathbb{R}$, $e_1^x=e^x$) that emerges from nonex…