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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—Alexander Pope (1688–1744)
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (1896–1966)
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (1670–1733)