Polynomial Sequence - Examples

Examples

Some polynomial sequences arise in physics and approximation theory as the solutions of certain ordinary differential equations:

  • Laguerre polynomials
  • Chebyshev polynomials
  • Legendre polynomials
  • Jacobi polynomials

Others come from statistics:

  • Hermite polynomials

Many are studied in algebra and combinatorics:

  • Monomials
  • Rising factorials
  • Falling factorials
  • Abel polynomials
  • Bell polynomials
  • Bernoulli polynomials
  • Dickson polynomials
  • Fibonacci polynomials
  • Lagrange polynomials
  • Lucas polynomials
  • Spread polynomials
  • Touchard polynomials
  • Rook polynomials

Read more about this topic:  Polynomial Sequence

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