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The Roots of Orthogonal Polynomials Interlace
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=tDKR4BY3XuE
We prove that the roots of the polynomials in a family of orthogonal polynomials interlace, which implies that the roots of one polynomial lie in between the roots of the other. This result applies to polynomials that we have previously studied such as the Legendre, Chebyshev, and Hermite polynomials. • #mikethemathematician, #mikedabkowski, #profdabkowski
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