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Generating functions

Homogeneous polynomials

Orthogonal polynomials

Rational functions

Symmetric functions



Applied sciences






















The main article for this category is Polynomial.


Generating functions

Homogeneous polynomials

Orthogonal polynomials

Rational functions

Symmetric functions


Abel polynomials

Abel–Ruffini theorem

Actuarial polynomials

Additive polynomial

Alexander polynomial

Algebraic equation

Algebraic set

All one polynomial

Alternating polynomial

Angelescu polynomials

Appell sequence

Bell polynomials

Bernoulli polynomials

Bernstein polynomial

Bernstein–Sato polynomial


Binomial type

Boas–Buck polynomials

Bollobás–Riordan polynomial

Bombieri norm

Boole polynomials

Bracket polynomial

Bring radical

Bézout matrix

Caloric polynomial

Casus irreducibilis

Cavalieri's quadrature formula

Characteristic polynomial


Coefficient diagram method

Cohn's irreducibility criterion

Complex conjugate root theorem

Complex quadratic polynomial

Constant function

Constant term

Content (algebra)

Continuant (mathematics)

Cubic function

Cyclotomic polynomial

Degree of a polynomial

Delta operator

Denisyuk polynomials

Derivation of the Routh array

Descartes' rule of signs

Dickson polynomial

Difference polynomials


Divided power structure

Division polynomials

Ehrhart polynomial

Eisenstein's criterion

Equally spaced polynomial

Equioscillation theorem

Exponential polynomial

External ray

Faber polynomials

Factor theorem

Factorization of polynomials

Factorization of polynomials over finite fields

Fekete polynomial

Fibonacci polynomials

Gauss's lemma (polynomial)

Gauss–Lucas theorem

Generalized Appell polynomials

Gould polynomials

Grace–Walsh–Szegő theorem

HOMFLY polynomial

Harmonic polynomial

Height of a polynomial

Heine–Stieltjes polynomials

Hermite polynomials

Hilbert's Nullstellensatz

Hilbert's irreducibility theorem

Hilbert's thirteenth problem

Horner's method

Hudde's rules

Humbert polynomials

Hurwitz polynomial

Integer-valued polynomial

Invariant polynomial

Irreducible polynomial

Jacobian conjecture

Jones polynomial

Kauffman polynomial

Kazhdan–Lusztig polynomial

Kharitonov region

Kharitonov's theorem

Knot polynomial

LLT polynomial

Lagrange polynomial

Lagrange's theorem (number theory)

Laguerre polynomials

Laurent polynomial

Lebesgue constant (interpolation)

Legendre polynomials

Lehmer's conjecture

Lill's method

Lindsey–Fox algorithm

Linear equation

Linear function

Linear function (calculus)

Linearised polynomial

List of polynomial topics

Littlewood polynomial

Lommel polynomial

Mahler measure

Mahler polynomial

Marden's theorem

Mason–Stothers theorem

Matrix polynomial

Maximum length sequence

Minimal polynomial (field theory)

Minimal polynomial (linear algebra)

Mittag-Leffler polynomials

Monic polynomial


Monomial basis

Monomial order

Mott polynomials

Multilinear polynomial

Multiplicative sequence

Narumi polynomials

Neumann polynomial

Neville's algorithm

Newton polynomial

Octic equation

Padovan polynomials

Permutation polynomial

Peters polynomials

Pidduck polynomials

Pincherle polynomials

Polylogarithmic function


Polynomial Wigner–Ville distribution

Polynomial arithmetic

Polynomial decomposition

Polynomial expansion

Polynomial greatest common divisor

Polynomial interpolation

Polynomial long division

Polynomial matrix

Polynomial remainder theorem

Polynomial representations of cyclic redundancy checks

Polynomial ring

Polynomial sequence

Primitive polynomial (field theory)

Properties of polynomial roots

Q-difference polynomial

Quadratic equation

Quadratic formula

Quadratic function

Quartic function


Quasisymmetric function

Quintic function

Radical polynomial

Rainville polynomials

Rational root theorem

Reciprocal polynomial

Regular chain

Regular semi-algebraic system


Remez algorithm

Resolvent cubic


Ring of polynomial functions

Ring of symmetric functions

Rook polynomial

Root of unity

Routh–Hurwitz stability criterion

Routh–Hurwitz theorem

Ruffini's rule

Schwartz–Zippel lemma

Secondary polynomials

Separable polynomial

Septic equation

Series expansion

Sextic equation

Shapiro polynomials

Sheffer sequence

Sister Celine's polynomials

Square-free polynomial

Stability radius

Stable polynomial

Stanley symmetric function

Stirling polynomials

Sturm's theorem

Sylvester matrix

Symmetric algebra

Symmetric polynomial

Synthetic division

System of polynomial equations

Theory of equations

Tian yuan shu

Touchard polynomials

Triangular decomposition

Trigonometric polynomial


Tschirnhaus transformation

Tutte polynomial

Umbral calculus

Unimodular polynomial matrix

Vandermonde polynomial

Vieta's formulas

Wall polynomial

Wilkinson's polynomial

Wu's method of characteristic set


Original courtesy of Wikipedia: http://en.wikipedia.org/wiki/Category:Polynomials — Please support Wikipedia.
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547 news items


Mon, 28 Sep 2015 08:45:00 -0700

"The end result," Cain says, "is a series of polynomials representing the trajectory of the ball, as pure as possible, all things considered." Then there's the Hego system, which uses cameras to keep track of the players. There are six cameras per park ...


Mon, 14 Sep 2015 02:53:23 -0700

Hm(·) denotes the mth-degree complex Hermite polynomials. By exploiting the Eq. (6), we can derive a squeezed conformations and its mixture in the following section. Then we prove that, for sufficiently large N and for any squeezing of a coherent state ...

Times of India

Times of India
Sat, 26 Sep 2015 00:17:14 -0700

SAN FRANCISCO: He's Bill Gates' favorite teacher. The billionaire tech badshah uses Sal's online videos to tutor his children Jennifer, Rory and Phoebe. BusinessWeek magazine called him the ''Math Moses,'' and Fortune listed him among 40 hottest ...
Taiwan Today
Thu, 17 Sep 2015 20:33:45 -0700

According to Chen, everyone tends to think polynomials are extremely abstract, but they are simply ways of conveying a pattern. Geometry may appear quite simple, yet it can be extended to design a pyramid. It brings with it complex applications.


Mon, 21 Sep 2015 22:32:03 -0700

... linear regression, curvilinear regression and orthogonal polynomials, multiple regression, multiple and partial correlations, estimation of variance and covariance components, multivariate normal distribution, Mahalanobis-D2 and Hotelling's T2 ...


Mon, 21 Apr 2014 06:10:10 -0700

Hyperbolic homogeneous equations on the chalkboard in Professor Dinakar Ramakrishnan's office at Caltech. Credit: Cynthia Eller. Cutting-edge mathematics today, at least to the uninitiated, often sounds as if it bears no relation to the arithmetic we ...
GeekDad (blog)
Sun, 21 Jul 2013 04:37:30 -0700

Doug determined his correct solution of f(x) = x2-79x+1601 (a=1, b=-79, c=1601) by completely reviewing all possible polynomials with both b and c ranging from {-300 to +300.} Noting that prime strings were longest when both b and c were odd and that c ...
Scientific American
Mon, 28 Dec 2009 07:07:48 -0800

Polynomials are mathematical expressions that in their prototypical form can be described by the sum or product of one or more variables raised to various powers. As a single-variable example, take x2 - x - 2. This expression is a second-degree ...

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