Yet another criterion for the total positivity of Riordan arrays

Jianxi Mao, Lili Mu, Yi Wang

Let $R=\mathcal{R}(d(t),h(t))$ be a Riordan array, where $d(t)={\sum }_{n\ge 0}{d}_n{t}^n$ and $h(t)={\sum }_{n\ge 0}{h}_n{t}^n$. We show that if the matrix \begin{equation*} \left[\begin{array}…