E. E. Allen

collaborators

2 papers

math.CO2019

Multivariable Lucas Polynomials and Lucanomials

Edward E. Allen, Katherine Riley, Michael Weselcouch

Lucas polynomials are polynomials in $s_{1}$ and $s_{2}$ defined recursively by ${0} = 0$ , ${1} = 1$ , and ${m} = s_{1} {m - 1} + s_{2} {m - 2}$ for $m \geq 2$ . We generalize Lucas polynomials…

math.CO2016

Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions

Edward E. Allen, Joshua Hallam, Sarah K. Mason

We describe a combinatorial formula for the coefficients when the dual immaculate quasisymmetric functions are decomposed into Young quasisymmetric Schur functions. We prove this u…