Coefficientwise Hankel-total positivity of the Schett polynomials

TL;DR

This paper establishes the coefficientwise Hankel-total positivity for the even and odd subsequences of Schett polynomials, advancing understanding of their positivity properties in combinatorics.

Contribution

It proves the coefficientwise Hankel-total positivity of specific subsequences of Schett polynomials, a novel result in polynomial positivity theory.

Findings

Proves Hankel-total positivity for Schett polynomial subsequences

Demonstrates positivity properties in polynomial sequences

Advances combinatorial positivity theory

Abstract

We prove the coefficientwise Hankel-total positivity of the even and odd subsequences of Schett polynomials $X_n(x,y,z)$.