\begin{eqnarray*} f\left(x;\alpha\right) & = & \frac{1}{2\Gamma\left(\alpha\right)}\left|x\right|^{\alpha-1}e^{-\left|x\right|}\\
F\left(x;\alpha\right) & = & \left\{
  \begin{array}{ccc}
    \frac{1}{2}-\frac{\gamma\left(\alpha,\left|x\right|\right)}{2\Gamma\left(\alpha\right)} &  & x\leq0\\
    \frac{1}{2}+\frac{\gamma\left(\alpha,\left|x\right|\right)}{2\Gamma\left(\alpha\right)} &  & x>0
  \end{array}
\right.\\
G\left(q;\alpha\right) & = & \left\{
  \begin{array}{ccc}
    -\gamma^{-1}\left(\alpha,\left|2q-1\right|\Gamma\left(\alpha\right)\right) &  & q\leq\frac{1}{2}\\
    \gamma^{-1}\left(\alpha,\left|2q-1\right|\Gamma\left(\alpha\right)\right) &  & q>\frac{1}{2}
  \end{array}
\right.\end{eqnarray*}

 M\left(t\right)=\frac{1}{2\left(1-t\right)^{a}}+\frac{1}{2\left(1+t\right)^{a}}

\begin{eqnarray*} \mu=m_{n} & = & 0\\
\mu_{2} & = & \alpha\left(\alpha+1\right)\\
\gamma_{1} & = & 0\\
\gamma_{2} & = & \frac{\left(\alpha+2\right)\left(\alpha+3\right)}{\alpha\left(\alpha+1\right)}-3\\
m_{d} & = & \mathrm{NA}\end{eqnarray*}