Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

The amount of time it takes for an algorithm to solve a polynomial function, which is a mathematical expression that does not contain fractions or negative numbers. The time is proportional to the ...

Combinatorial polynomials, such as the Tutte, U‐ and Schubert polynomials, complement this by systematically organising information about graphs and posets into polynomial expressions.

A new procedure for estimating characteristic functions based on a Chebyshev polynomial expansion for the density of the Cosine is developed. Simulation results confirm the usefulness of the method.

This function is a polynomial in two dimensions, with terms up to degree 5. It is nonlinear, and it is smooth despite being complex, which is common for computer experiment functions (Lim et al., 2002 ...

Solving polynomial equations Solving polynomials The nature and co-ordinates of roots can be determined using the discriminant and solving polynomials. Part of Maths Algebraic and trigonometric skills ...

We derive sufficient conditions under which a particular class of functions act as bounds for the prices of financial derivatives in regime-switching market models. Using these sufficient conditions, ...