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In our previous works we found a power series expansion of a particular caseof Fox's $H$ function $H^{q,0}_{p,q}$ in a neighborhood of its positivesingularity. An inverse factorial series expansion of the integrand of$H^{q,0}_{p,q}$ served as our main tool. However, a necessary restriction onparameters is missing in those works. In this note we fill this gap and give asimpler and shorter proof of the expansion around the positive singular point.We further identify more precisely the abscissa of convergence of theunderlying inverse factorial series. Our new proof hinges on a slightgeneralization of a particular case of Braaksma's theorem about analyticcontinuation of Fox's $H$ function.

A note on Fox's H function in the light of Braaksma's results