Praveen S. Venkataramana

collaborators

2 papers

math.CO2018

Path counting and rank gaps in differential posets

Christian Gaetz, Praveen Venkataramana

We study the gaps $Δ p_{n}$ between consecutive rank sizes in $r$ -differential posets by introducing a projection operator whose matrix entries can be expressed in terms of the number…

math.CA2015

The monic Laguerre polynomials preserve real-rootedness

Praveen S. Venkataramana

Let $L_{n} (x)$ and $L_{n}^{α} (x)$ be the $n$ th Laguerre and associated Laguerre polynomial respectively. Fisk proved that the linear operator sending $x^{n}$ to $L_{n} (x)$ preserves real-roo…