Differentiation Matrices for Univariate Polynomials

This is a reference compilation for researchers working with polynomial bases, but it is incremental as it does not introduce new theory or methods.

This paper compiles elementary properties of differentiation matrices for univariate polynomials in various bases, including orthogonal, Bernstein, Lagrange, and Hermite bases. It provides a unified reference for these matrices without presenting new results or numerical evaluations.