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Words: 12k
Articles: 246
Polynomials are mathematical expressions that consist of variables (often represented by letters) and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents.
Table of contents
12k
246
Generating functions
Polynomials
654
10
Betti number
Generating functions
60
Cyclic sieving
Generating functions
58
Factorial moment generating function
Generating functions
71
Generating function
Generating functions
41
Generating function transformation
Generating functions
62
Matsushima's formula
Generating functions
88
Moment-generating function
Generating functions
37
Probability-generating function
Generating functions
59
Tau function (integrable systems)
Generating functions
55
Weisner's method
Generating functions
75
Homogeneous polynomials
Polynomials
305
8
Quadratic forms
Homogeneous polynomials
13
Complete homogeneous symmetric polynomial
Homogeneous polynomials
18
Diagonal form
Homogeneous polynomials
50
Elementary symmetric polynomial
Homogeneous polynomials
44
Polynomial SOS
Homogeneous polynomials
25
Power sum symmetric polynomial
Homogeneous polynomials
19
SOS-convexity
Homogeneous polynomials
44
Schur polynomial
Homogeneous polynomials
40
Orthogonal polynomials
Polynomials
3k
62
Affine q-Krawtchouk polynomials
Orthogonal polynomials
52
Affine root system
Orthogonal polynomials
53
Al-SalamâCarlitz polynomials
Orthogonal polynomials
61
Al-SalamâChihara polynomials
Orthogonal polynomials
43
Askey scheme
Orthogonal polynomials
39
AskeyâGasper inequality
Orthogonal polynomials
42
Associated Legendre polynomials
Orthogonal polynomials
69
Bateman polynomials
Orthogonal polynomials
51
Bessel polynomials
Orthogonal polynomials
42
Big q-Laguerre polynomials
Orthogonal polynomials
54
Biorthogonal polynomial
Orthogonal polynomials
22
ChristoffelâDarboux formula
Orthogonal polynomials
47
Classical orthogonal polynomials
Orthogonal polynomials
47
Continuous Hahn polynomials
Orthogonal polynomials
49
Continuous big q-Hermite polynomials
Orthogonal polynomials
55
Continuous dual Hahn polynomials
Orthogonal polynomials
72
Continuous dual q-Hahn polynomials
Orthogonal polynomials
51
Continuous q-Hahn polynomials
Orthogonal polynomials
57
Continuous q-Hermite polynomials
Orthogonal polynomials
50
Continuous q-Jacobi polynomials
Orthogonal polynomials
35
Continuous q-Laguerre polynomials
Orthogonal polynomials
51
Discrete Chebyshev polynomials
Orthogonal polynomials
66
Discrete orthogonal polynomials
Orthogonal polynomials
48
Discrete q-Hermite polynomials
Orthogonal polynomials
47
Dual Hahn polynomials
Orthogonal polynomials
44
Dual q-Hahn polynomials
Orthogonal polynomials
39
Favard's theorem
Orthogonal polynomials
53
Gegenbauer polynomials
Orthogonal polynomials
43
Hahn polynomials
Orthogonal polynomials
56
HallâLittlewood polynomials
Orthogonal polynomials
45
HeckmanâOpdam polynomials
Orthogonal polynomials
56
Jack function
Orthogonal polynomials
50
Jacobi polynomials
Orthogonal polynomials
36
Koornwinder polynomials
Orthogonal polynomials
66
Kravchuk polynomials
Orthogonal polynomials
34
Little q-Jacobi polynomials
Orthogonal polynomials
58
Little q-Laguerre polynomials
Orthogonal polynomials
46
Macdonald polynomials
Orthogonal polynomials
42
Mehler kernel
Orthogonal polynomials
43
MehlerâHeine formula
Orthogonal polynomials
55
Meixner polynomials
Orthogonal polynomials
48
MeixnerâPollaczek polynomials
Orthogonal polynomials
59
Multiple orthogonal polynomials
Orthogonal polynomials
61
Orthogonal polynomials on the unit circle
Orthogonal polynomials
46
PlancherelâRotach asymptotics
Orthogonal polynomials
58
Pseudo-Zernike polynomials
Orthogonal polynomials
50
Pseudo Jacobi polynomials
Orthogonal polynomials
45
Q-Bessel polynomials
Orthogonal polynomials
59
Q-Charlier polynomials
Orthogonal polynomials
64
Q-Hahn polynomials
Orthogonal polynomials
51
Q-Krawtchouk polynomials
Orthogonal polynomials
56
Q-Laguerre polynomials
Orthogonal polynomials
52
Q-Meixner polynomials
Orthogonal polynomials
58
Q-MeixnerâPollaczek polynomials
Orthogonal polynomials
52
Q-Racah polynomials
Orthogonal polynomials
47
Quantum q-Krawtchouk polynomials
Orthogonal polynomials
49
Rodrigues' formula
Orthogonal polynomials
38
Rogers polynomials
Orthogonal polynomials
46
Sobolev orthogonal polynomials
Orthogonal polynomials
65
StieltjesâWigert polynomials
Orthogonal polynomials
65
TurĂĄn's inequalities
Orthogonal polynomials
36
Zernike polynomials
Orthogonal polynomials
51
Polynomial functions
Polynomials
537
9
Constant function
Polynomial functions
77
Cubic function
Polynomial functions
27
Linear function
Polynomial functions
23
Linear function (calculus)
Polynomial functions
76
Newton polytope
Polynomial functions
48
Quadratic function
Polynomial functions
75
Quartic function
Polynomial functions
65
Quintic function
Polynomial functions
53
Ring of polynomial functions
Polynomial functions
31
Polynomials factorization algorithms
Polynomials
78
Rational functions
Polynomials
495
9
Partial fractions
Rational functions
67
Chebyshev rational functions
Rational functions
39
Elliptic rational functions
Rational functions
75
HartogsâRosenthal theorem
Rational functions
30
Legendre rational functions
Rational functions
38
Linear fractional transformation
Rational functions
60
Padé approximant
Rational functions
55
Polylogarithm
Rational functions
24
Rational function
Rational functions
54
Theorems about polynomials
Polynomials
1k
21
AbelâRuffini theorem
Theorems about polynomials
62
Bernstein's theorem (polynomials)
Theorems about polynomials
68
Binomial theorem
Theorems about polynomials
49
Cohn's theorem
Theorems about polynomials
69
Complex conjugate root theorem
Theorems about polynomials
61
Descartes' rule of signs
Theorems about polynomials
69
Equioscillation theorem
Theorems about polynomials
47
Factor theorem
Theorems about polynomials
68
Gauss's lemma (polynomials)
Theorems about polynomials
56
GaussâLucas theorem
Theorems about polynomials
37
GraceâWalshâSzegĆ theorem
Theorems about polynomials
72
Hilbert's irreducibility theorem
Theorems about polynomials
44
Kharitonov's theorem
Theorems about polynomials
70
Lagrange's theorem (number theory)
Theorems about polynomials
33
Marden's theorem
Theorems about polynomials
31
MasonâStothers theorem
Theorems about polynomials
60
Multi-homogeneous Bézout theorem
Theorems about polynomials
63
Multinomial theorem
Theorems about polynomials
39
Polynomial remainder theorem
Theorems about polynomials
58
Rational root theorem
Theorems about polynomials
70
RouthâHurwitz theorem
Theorems about polynomials
44
Additive polynomial
Polynomials
14
Algebraic equation
Polynomials
38
Algebraic function
Polynomials
20
Alternating polynomial
Polynomials
19
Angelescu polynomials
Polynomials
79
Appell sequence
Polynomials
74
Bell polynomials
Polynomials
37
Bernoulli polynomials
Polynomials
40
Bernoulli polynomials of the second kind
Polynomials
37
Bernoulli umbra
Polynomials
27
Bernstein polynomial
Polynomials
47
BernsteinâSato polynomial
Polynomials
58
Binomial type
Polynomials
61
BollobĂĄsâRiordan polynomial
Polynomials
66
Bombieri norm
Polynomials
74
Bracket polynomial
Polynomials
44
Bring radical
Polynomials
68
Cavalieri's quadrature formula
Polynomials
47
Chebyshev polynomials
Polynomials
47
Coefficient diagram method
Polynomials
57
Cohn's irreducibility criterion
Polynomials
46
Complex quadratic polynomial
Polynomials
51
Constant term
Polynomials
70
Cubic equation
Polynomials
26
Cyclic redundancy check
Polynomials
71
Degree of a polynomial
Polynomials
39
Derivation of the Routh array
Polynomials
35
Dickson polynomial
Polynomials
62
Difference polynomials
Polynomials
55
Discriminant
Polynomials
74
Divided power structure
Polynomials
56
Division polynomials
Polynomials
71
Ehrhart polynomial
Polynomials
40
Exponential polynomial
Polynomials
17
External ray
Polynomials
70
Fibonacci polynomials
Polynomials
44
Geometrical properties of polynomial roots
Polynomials
65
Graph polynomial
Polynomials
72
HOMFLY polynomial
Polynomials
76
Hermite polynomials
Polynomials
43
Hilbert's Nullstellensatz
Polynomials
50
Hilbert's thirteenth problem
Polynomials
55
HiptmairâXu preconditioner
Polynomials
67
Hurwitz polynomial
Polynomials
68
Integer-valued polynomial
Polynomials
15
Invariant polynomial
Polynomials
57
Jacobian conjecture
Polynomials
46
Jones polynomial
Polynomials
66
KazhdanâLusztig polynomial
Polynomials
48
Knot polynomial
Polynomials
85
Lagrange polynomial
Polynomials
22
Laguerre polynomials
Polynomials
52
Laurent polynomial
Polynomials
20
Lebesgue constant
Polynomials
61
Legendre moment
Polynomials
68
Legendre polynomials
Polynomials
42
Lehmer's conjecture
Polynomials
69
Lill's method
Polynomials
69
LindseyâFox algorithm
Polynomials
71
Linearised polynomial
Polynomials
22
List of polynomial topics
Polynomials
45
Littlewood polynomial
Polynomials
24
Mahler measure
Polynomials
29
Maximum length sequence
Polynomials
63
Minimal polynomial of 2cos(2pi/n)
Polynomials
24
Mittag-Leffler polynomials
Polynomials
38
Monic polynomial
Polynomials
56
Monomial order
Polynomials
43
MorleyâWangâXu element
Polynomials
72
Multilinear polynomial
Polynomials
21
Multiplicative sequence
Polynomials
30
Neumann polynomial
Polynomials
55
Neville's algorithm
Polynomials
78
Newton polynomial
Polynomials
81
Order polynomial
Polynomials
22
P-recursive equation
Polynomials
23
Permutation polynomial
Polynomials
46
Perron's irreducibility criterion
Polynomials
35
Polynomial WignerâVille distribution
Polynomials
61
Polynomial evaluation
Polynomials
42
Polynomial expansion
Polynomials
71
Polynomial interpolation
Polynomials
23
Polynomial matrix spectral factorization
Polynomials
79
Polynomial ring
Polynomials
51
Polynomial root-finding algorithms
Polynomials
64
Polynomial sequence
Polynomials
71
Polynomial solutions of P-recursive equations
Polynomials
42
Polynomials calculating sums of powers of arithmetic progressions
Polynomials
57
Q-difference polynomial
Polynomials
77
Quartic equation
Polynomials
10
Quasisymmetric function
Polynomials
65
Reciprocal polynomial
Polynomials
17
Remez algorithm
Polynomials
58
Ring of symmetric functions
Polynomials
55
Romanovski polynomials
Polynomials
66
Rook polynomial
Polynomials
54
Root of unity
Polynomials
30
Rosenbrock function
Polynomials
52
RouthâHurwitz stability criterion
Polynomials
57
Ruffini's rule
Polynomials
46
Septic equation
Polynomials
13
Sextic equation
Polynomials
71
Shapiro polynomials
Polynomials
69
Sheffer sequence
Polynomials
66
Sister Beiter conjecture
Polynomials
69
Stability radius
Polynomials
80
Stable polynomial
Polynomials
42
Stanley symmetric function
Polynomials
50
Stirling polynomials
Polynomials
60
Symmetric polynomial
Polynomials
19
Theory of equations
Polynomials
76
Thomae's formula
Polynomials
53
Touchard polynomials
Polynomials
77
Trigonometric polynomial
Polynomials
19
Tutte polynomial
Polynomials
34
Umbral calculus
Polynomials
57
Vandermonde polynomial
Polynomials
21
Vieta's formulas
Polynomials
33
Wilkinson's polynomial
Polynomials
29
Zolotarev polynomials
Polynomials
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Algebra
Fields of mathematics
Mathematics
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