Wiman-Valiron theory for a polynomial series based on the Askey-Wilson operator

Kam Hang Cheng, Yik-Man Chiang

We establish a Wiman-Valiron theory of a polynomial series based on the Askey-Wilson operator ${\mathcal{D}}_q$, where $q\in (0,1)$. For an entire function $f$ of log-order smaller th…