Kathy Q. Ji

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20232026

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math.CO2023

The Binomial-Stirling-Eulerian Polynomials

Kathy Q. Ji, Zhicong Lin

We introduce the binomial-Stirling-Eulerian polynomials, denoted $A ~_{n} (x, y ∣ α)$ , which encompass binomial coefficients, Eulerian numbers and two Stirling statistics: the left…

math.CO2023

The $(α, β)$ -Eulerian Polynomials and Descent-Stirling Statistics on Permutations

Kathy Q. Ji

Carlitz and Scoville introduced the polynomials $A_{n} (x, y ∣ α, β)$ , which we refer to as the $(α, β)$ -Eulerian polynomials. These polynomials count permutations based on Eulerian-Stirl…

The Binomial-Stirling-Eulerian Polynomials

The (α,β)-Eulerian Polynomials and Descent-Stirling Statistics on Permutations

The $(α, β)$ -Eulerian Polynomials and Descent-Stirling Statistics on Permutations