Basic hypergeometric phi
From specialfunctionswiki
The basic hypergeometric series $\phi$ is defined by $${}_j \phi_k \left[ \begin{array}{llllll} a_1 & a_2 & \ldots & a_j \\
& & & & ; q,z \\
b_1 & b_2 & \ldots & b_{\ell} \end{array}\right]=\displaystyle\sum_{k=0}^{\infty} \dfrac{(a_1;q)_k \ldots (a_j;q)_k}{(b_1;q)_k \ldots (b_{\ell};q)_k} \left((-1)^kq^{k \choose 2} \right)^{1+\ell-j}z^n.$$