Polynomial sequence

In mathematics, a polynomial sequence is a sequence of polynomials indexed by the nonnegative integers 0, 1, 2, 3, ..., in which each index is equal to the degree of the corresponding polynomial.

Examples

• Monomials
• Rising factorials
• Falling factorials
• Abel polynomials
• Bell polynomials
• Bernoulli polynomials
• Chebyshev polynomials
• Fibonacci polynomials
• Hermite polynomials
• Legendre polynomials
• Laguerre polynomials
• Spread polynomials
• Touchard polynomials
• Rook polynomials

Classes of polynomial sequences

• Polynomial sequences of binomial type
• Orthogonal polynomials
• Secondary polynomials
• Sheffer sequence
• Sturm sequence
• Generalized Appell polynomials