A class of polynomials from enumerating queen paths
Ashish Goswami, Khang Tran
TL;DR
This paper introduces a new class of polynomials derived from counting queen paths, providing their generating functions and analyzing the zero distribution of related polynomials.
Contribution
It presents the derivation of generating functions for queen path enumeration and studies the zero distribution of associated polynomials, offering new mathematical insights.
Findings
Generated explicit formulas for the polynomials' generating functions.
Analyzed the zero distribution of related polynomial sequences.
Provided new connections between combinatorial enumeration and polynomial properties.
Abstract
We study a class polynomials obtained from an enumeration of the number of queen paths. In particular, we find the generating function for the diagonal sequence of this table and the zero distribution of a sequence of related polynomials.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · graph theory and CDMA systems · Polynomial and algebraic computation