\[\lim_{|\beta|\to\infty}{{}_{p}F_{q+1}}\left({a_{1},\dots,a_{p}\atop b_{1},%
\dots,b_{q},\beta};\beta z\right)={{}_{p}F_{q}}\left({a_{1},\dots,a_{p}\atop b%
_{1},\dots,b_{q}};z\right),\]