On zeros of some entire functions

Bing He

Let \begin{equation*} A_{q}^{(α)}(a;z) = \sum_{k=0}^{\infty} \frac{(a;q)_{k} q^{αk^2} z^k} {(q;q)_{k}}, \end{equation*} where $\alpha >0,0<q<1.$ In a paper of Ruiming Zhang, he asked un…