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 Date: 2015-12-04 19:21:55Mathematics Mathematical analysis Combinatorics Polynomials Generating function Orthogonal polynomials Falling and rising factorials Binomial coefficient Examples of generating functions Chebyshev polynomials |
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Worksheet on Generating Functions October 26, 2015 This worksheet is adapted from notes/exercises by Nat Thiem. 1![ON AN EXTREMAL PROPERTY OF CHEBYSHEV POLYNOMIALS Eugene Remes Given a closed interval S = [a, b] of length ℓ = b − a, and two positive numbers λ = θℓ, 0 < θ < 1, and 0 < κ, we consider the following problem1 :](https://www.pdfsearch.io/img/576335f9cc908000664731a6b3d2091f.jpg "ON AN EXTREMAL PROPERTY OF CHEBYSHEV POLYNOMIALS Eugene Remes Given a closed interval S = [a, b] of length ℓ = b − a, and two positive numbers λ = θℓ, 0 < θ < 1, and 0 < κ, we consider the following problem1 :")
