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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