\[\widetilde{w}_{j}(z)=(-z)^{-a_{j}}{{}_{q+1}F_{q}}\left({a_{j},1-b_{1}+a_{j},%
\dots,1-b_{q}+a_{j}\atop 1-a_{1}+a_{j},\ldots*\dots,1-a_{q+1}+a_{j}};\frac{1}{%
z}\right),\]