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Jacobi polynomials |
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Jacobi polynomials [jə′kō·bē ‚päl·ə′nō·mē·əlz] (mathematics) Polynomials that are constructed from the hypergeometric function and satisfy the differential equation (1 - x2)y″ + [β - α - (α + β + 2)x]y′ +n(α + β +n+ 1)y= 0, wherenis an integer and α and β are constants greater than -1; in certain cases these generate the Legendre and Chebyshev polynomials. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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