2 papers
math.CO2026
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 minors of the lower-triangular Pascal matrix . We pr…
math.CO2023
Khayyam-Pascal Determinantal Arrays, Star of David Rule and Log-Concavity
Hossein Teimoori Faal, Hasan Khodakarami
In this paper we develop a new geometric method to answer the log-concavity questions related to a nice class of combinatorial sequences arising from the Pascal triangle.