Sum of two i.i.d random variables involving Meijer-G function

Question

I have two i.i.d random variables $V_1$ and $V_2$ with parameters $\beta,\lambda$. Their PDF is given as $f_{V_1}(v_1)=\frac{1}{\Gamma^2(\beta)}\frac{1}{v_1}G^{2,0}_{0,2}\left(\frac{v_1\lambda^2}{\alpha^2}|\frac{-}{\beta,\beta}\right)$ and $f_{V_2}(v_2)=\frac{1}{\Gamma^2(\beta)}\frac{1}{v_2}G^{2,0}_{0,2}\left(\frac{v_2\lambda^2}{\alpha^2}|\frac{-}{\beta,\beta}\right)$. My doubt is how to add $V_1$ and $V_2$ using convolution approach as it involves Meijer-G function. Any help in this regard is highly appreciated.