Date of Award
2015
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Graduate Group
Mathematics
First Advisor
James Haglund
Abstract
We prove that Garsia and Remmel's q-hit polynomials for Ferrers boards have
only real roots for fixed q > 0. This generalizes previous results by Haglund, Wagner
and Ono [4] and Savage and Visontai [5]. We also extend the main recursion in [5]
to hit polynomials for certain classes of Ferrers boards, which include the multiset
Eulerian polynomials.
Recommended Citation
Mo, Li-Ping, "Q-Hit Polynomials Have Only Real Roots" (2015). Publicly Accessible Penn Dissertations. 1906.
https://repository.upenn.edu/edissertations/1906