\[\lim_{q\to 1}\frac{p_{n}\left(1-\tfrac{1}{2}x(1-q)^{2};q^{a},q^{b},q^{c},q^{d}%
\,|\,q\right)}{(1-q)^{3n}}=W_{n}\left(x;a,b,c,d\right).\]