Roshil Paudyal

collaborators

2 papers

math.CO2017

Q-analogues of the Fibo-Stirling numbers

Quang T. Bach, Roshil Paudyal, Jeffrey B. Remmel

Let $F_{n}$ denote the $n^{t h}$ Fibonacci number relative to the initial conditions $F_{0} = 0$ and $F_{1} = 1$ . Bach, Paudyal, and Remmel introduced Fibonacci analogues of the Stirling numb…

math.CO2015

A Fibonacci analogue of Stirling numbers

Quang T. Bach, Roshil Paudyal, Jeffrey B. Remmel

Consider the Fibonacci numbers defined by setting $F_{1} = 1 = F_{2}$ and $F_{n} = F_{n - 1} + F_{n - 2}$ for $n \geq 3$ . We let $n_{F}! = F_{1} \dots F_{n}$ and $\binom{n}{k}_F = \frac{n_F!}{k_F!(n-k)_…