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hw6 - three-term recurrence T x = 1 T 1 x = x T n 1 x = 2...

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Homework 6 – Math 104B, Winter 2011 Due on Thursday, March 3rd, 2011 Section 8.3 1, and 8. Section 8.5 4, 12, and 16. Additional problem 1: Prove that the Chebyshev polynomials satisfy the
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Unformatted text preview: three-term recurrence: T ( x ) = 1; T 1 ( x ) = x ; T n +1 ( x ) = 2 xT n ( x )-T n-1 ( x ) ∀ n ≥ 1 1...
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