Cyclotomic polynomials are used in number theory to study the roots of unity.

Hermite polynomials are widely used in quantum mechanics to solve the Schrödinger equation.

Fibonacci polynomials are a sequence of polynomials that are derived from the Fibonacci numbers.

The Dickson polynomials are a family of polynomials that generalize the Chebyshev polynomials.

Bell polynomials are a family of polynomials used in combinatorial mathematics.

Lagrange polynomials are widely used in numerical analysis.

Bernoulli polynomials are widely used in mathematics.

Legendre polynomials are widely used in mathematical physics.

Rook polynomials are used in combinatorial mathematics.

The Jacobi polynomials are a family of orthogonal polynomials.