In dictionaries:
Legendre polynomials
In mathematics, Legendre polynomials, named after Adrien-Marie Legendre, are a system of complete and orthogonal polynomials with a wide number of mathematical properties and numerous applications.
Orthogonal polynomials
Polynomials mutually perpendicular under integration.
Hermite polynomials
Orthogonal polynomials, probabilistic and physical.
laguerre polynomials
alt=Complex color plot of the Laguerre polynomial L n(x) with n as -1 divided by 9 and x as z to the power of 4 from -2-2i to 2+2i|thumb|Complex color plot of the Laguerre polynomial L n(x) with n as -1 divided by 9 and x as z to the power of 4 from -2-2i to 2+2i
characteristic polynomials
homogeneous polynomials
Jacobi polynomials
alt=Plot of the Jacobi polynomial function P n^(a,b) with n=10 and a=2 and b=2 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D|thumb|Plot of the Jacobi polynomial function with and and in the complex plane from to with colors created with Mathematica 13.1 function ComplexPlot3D
lagrange polynomials
taylor polynomials
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