Mother wavelet functions generalized through q-exponentials
published by Ernesto Pinheiro Borges
in 2004
in Physics
and research's language is
English
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Abstract in English
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 nonextensive statistical mechanics. Particularly, we define extend