Information for "Jacobi polynomials"

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Display titleJacobi polynomials
Default sort keyJacobi polynomials
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Page imagePlot 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.svg
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Page creatorimported>Jport
Date of page creation00:10, 7 March 2023
Latest editorimported>Jport
Date of latest edit00:10, 7 March 2023
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In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) $ P_{n}^{(\alpha ,\beta )}(x) $ are a class of classical orthogonal polynomials. They are orthogonal with respect to the weight $ (1-x)^{\alpha }(1+x)^{\beta } $ on the interval $ [-1,1] $. The Gegenbauer polynomials...
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