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・ Polynomial expansion
・ Polynomial function theorems for zeros
・ Polynomial greatest common divisor
・ Polynomial hierarchy
・ Polynomial identity ring
・ Polynomial interpolation
・ Polynomial kernel
・ Polynomial least squares
・ Polynomial lemniscate
・ Polynomial long division
・ Polynomial matrix
・ Polynomial regression
・ Polynomial remainder theorem
・ Polynomial representations of cyclic redundancy checks
・ Polynomial ring
Polynomial sequence
・ Polynomial signal processing
・ Polynomial SOS
・ Polynomial texture mapping
・ Polynomial transformations
・ Polynomial Wigner–Ville distribution
・ Polynomial-time algorithm for approximating the volume of convex bodies
・ Polynomial-time approximation scheme
・ Polynomial-time reduction
・ Polynomially reflexive space
・ Polynomiography
・ Polynoncus
・ Polynormal subgroup
・ Polynormande
・ Polynove Pole


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Polynomial sequence : ウィキペディア英語版
Polynomial sequence
In mathematics, a polynomial sequence is a sequence of polynomials indexed by the nonnegative integers 0, 1, 2, 3, ..., in which each index is equal to the degree of the corresponding polynomial. Polynomial sequences are a topic of interest in enumerative combinatorics and algebraic combinatorics, as well as applied mathematics.
==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
* All-one polynomials
* Abel polynomials
* Bell polynomials
* Bernoulli polynomials
* Cyclotomic polynomials
* Dickson polynomials
* Fibonacci polynomials
* Lagrange polynomials
* Lucas polynomials
* Spread polynomials
* Touchard polynomials
* Rook polynomials

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Polynomial sequence」の詳細全文を読む



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