Chromatic symmetric functions and combinatorial polynomials are central constructs in modern algebraic combinatorics, extending classical graph invariants into rich algebraic frameworks. Originating ...

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

This is a preview. Log in through your library . Abstract The subject of this paper are polynomials in multiple non-commuting variables. For polynomials of this type orthogonal with respect to a state ...

A polynomial is a chain of algebraic terms with various values of powers. There are some words and phrases to look out for when you're dealing with polynomials: \(6{x^5} - 3{x^2} + 7\) is a polynomial ...

This is a preview. Log in through your library . Abstract We analyze the sequence of polynomials defined by the differential-difference equation ${P_{n + 1}}\left( x \right) = {{P'}_n}\left( x \right) ...