Asymptotics of the shifted finite differences of the overpatition function and a problem of Wang--Xie--Zhang

Gargi Mukherjee

Let $\overline{p}(n)$ denote the overpartition function, and for $j\in \mathbb{N}$, $\hat{I}{”}_j^r$ denote the $r$-fold applications of the shifted difference operator $\hat{I}{”}_j$ defined by $…