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== Definition ==
In [[mathematics]], a '''polynomial sequence''' is a [[sequence]] of [[polynomial]]s 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 [[eponym]]s; among these are:
== Examples ==
* [[Monomial]]s
* [[Rising factorial]]s
* [[Falling factorial]]s
* [[Abel polynomials]]
* [[Bell polynomials]]
* [[Bernoulli polynomials]]
* [[Chebyshev polynomials]]
* [[Fibonacci polynomials]]
* [[Hermite polynomials]]
* [[Legendre polynomials]]
* [[Laguerre polynomials]]
* [[Touchard polynomials]]
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