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 ...

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.