On Meijer's <i>G</i> function <i>G^m,n_p,p</i> for <i>m</i> + <i>n</i> = <i>p</i>

The paper is devoted to the piece-wise analytic case of Meijer's $G$ function $G^{m,n}_{p,p}$. While problem its continuation was solved in principle by Meijer and Braaksma we show that ''balanced'' $m+n=p$ formulas take a particularly simple form. We derive explicit expressions for values these continuations on banks branch cuts. It further demonstrated particular cases this type having integer parameter differences satisfy identities similar Miller-Paris transformations generalized hypergeometric function. Finally, give presumably new integral evaluation involving $G^{m,n}_{p,p}$ with $m=n$ apply it summing series digamma related power coefficients product two functions shifted parameters.