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Polynomial sequence
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==Examples== Some polynomial sequences arise in [[physics]] and [[approximation theory]] as the solutions of certain [[ordinary differential equation]]s: * [[Laguerre polynomials]] * [[Chebyshev polynomials]] * [[Legendre polynomials]] * [[Jacobi polynomials]] Others come from [[statistics]]: * [[Hermite polynomials]] Many are studied in [[algebra]] and combinatorics: * [[Monomial]]s * [[Rising factorial]]s * [[Falling factorial]]s * [[All-one polynomial]]s * [[Abel polynomials]] * [[Bell polynomials]] * [[Bernoulli polynomials]] * [[Cyclotomic polynomial]]s * [[Dickson polynomial]]s * [[Fibonacci polynomials]] * [[Lagrange polynomials]] * [[Lucas polynomials]] * [[Spread polynomials]] * [[Touchard polynomials]] * [[Rook polynomials]]
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