Michael Weselcouch

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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.CO2019

$P$ -Partitions and Quasisymmetric Power Sums

Ricky Ini Liu, Michael Weselcouch

The $(P, ω)$ -partition generating function of a labeled poset $(P, ω)$ is a quasisymmetric function enumerating certain order-preserving maps from $P$ to $Z^{+}$ . We study t…

Multivariable Lucas Polynomials and Lucanomials

P-Partitions and Quasisymmetric Power Sums

$P$ -Partitions and Quasisymmetric Power Sums