Solution for a definite integral of a Meijer G-funtion In an equation, I have an integration which involves Meijer G-function that goes like 
$$\int_0^h t^{-1}\large{G}_{1,3}^{3,0} \left( Bt  \left|
\begin{array}{cc} {g^2}+1 \\ {g^2},\alpha, k \end{array} \right. \right) \ dt $$
Could you, please, provide any relationship that I can solve the above integral?!
Thanks.

The integral can be written as
$$ I=\int_0^1 z^{-1}\large{G}_{1,3}^{3,0} \left( Bhz  \left|
\begin{array}{cc} {g^2}+1 \\ {g^2},\alpha, k \end{array} \right. \right) \,dz$$
Using the Euler transform (see Ederlyi, apps.nrbook.com/bateman/Vol1.pdf, p. 214 with $\alpha=1, \beta=0$ or DLMF), it comes
$$I=\large{G}_{2,4}^{3,1} \left( Bh  \left|
\begin{array}{cc} 1,{g^2}+1 \\ {g^2},\alpha, k,0 \end{array} \right. \right) $$
