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. Various special polynomial sequences are known by eponyms; among these are:

• Abel polynomials
• Bernoulli polynomials
• Chebyshev polynomials
• Hermite polynomials
• Legendre polynomials
• Laguerre polynomials

See also, the article on polynomial sequences of binomial type and the one on Sheffer sequences.