List of special polynomials

The following polynomials are of particular importance in various areas of mathematics.

Alexander polynomial ( knot theory ) Bell polynomial Bernoulli polynomial Bernstein Polynomial ( Numerics ) Bernstein-Sato polynomial characteristic polynomial ( linear algebra ) chromatic polynomial ( graph theory ) Ehrhart polynomial Eisenstein Polynomial ( Algebra ) elementary symmetric polynomial Faber polynomial Fibonacci polynomial Gegenbauer polynomial ( analysis ) Hermitian Polynomial ( Physics ) HOMFLY polynomial ( knot theory ) homogeneous polynomial Hurwitz polynomial irreducible polynomials ( algebra , number theory ) Jacobi polynomial Jones polynomial ( knot theory )

Kauffman polynomial ( knot theory ) Circle division polynomial ( algebra ) Lagrange polynomial ( numerics ) Laguerre polynomials Legendre polynomial Minimal polynomial ( linear algebra , algebra ) Monom Newton Polynomial ( Numerics ) orthogonal polynomials Reciprocal Polynomial ( Algebra ) Schur polynomial symmetric polynomial Taylor Polynomial ( Analysis ) Touchard polynomial trigonometric polynomial ( analysis ) Chebishev polynomial Tutte polynomial (matroid theory) Wilkinson's polynomial Zernike Polynomial ( Geometric Optics )