$q$-type Lidstone expansions and an interpolation problem for entire functions

Mourad E. H. Ismail, Zeinab S. I. Mansour

In this paper, we expand functions of specific $q$-exponential growth in terms of its even (odd) Askey- Wilson $q$-derivatives at $0$ and $\eta =(q^{1/4}+q^{-1/4})/2$. This expansion i…