A Factorization of the Log-Concavity Operator for Pascal Determinantal Arrays and Their Infinite Row-Wise Log-Concavity

Hossein Teimoori Faal, Hasan Khodakarami

We study the Pascal determinantal arrays $\PD_k$, whose entries $\PD_k(i,j)$ are the $k\times k$ minors of the lower-triangular Pascal matrix $P=((\genfrac{}{}{0ex}{}{a}{b}){)}_{a,b\ge 0}$. We pr…