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 :

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Contents 1. Introduction 2. Chebyshev Points and Interpolants 3. Chebyshev Polynomials and Series 4. Interpolants, Projections, and Aliasing

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Memory-efficient Arnoldi algorithms for linearizations of matrix polynomials in Chebyshev basis Daniel Kressner∗ Jose E. Roman†

Source URL: sma.epfl.ch

Generating Function and a Rodrigues Formula for the Polynomials in d–Dimensional Semiclassical Wave Packets George A. Hagedorn∗ Department of Mathematics and Center for Statistical Mechanics and Mathematical Physics

Source URL: www.math.vt.edu

• Mathematical analysis
• Mathematics
• Special functions
• Polynomials
• Orthogonal polynomials
• Hermite polynomials
• Generating function
• Non-analytic smooth function
• Chebyshev function

COMPUTING COMPLEX SINGULARITIES OF DIFFERENTIAL EQUATIONS WITH CHEBFUN AUTHOR: MARCUS WEBB∗ AND ADVISOR: LLOYD N. TREFETHEN† Abstract. Given a solution to an ordinary differential equation (ODE) on a time interval, t

Source URL: www.damtp.cam.ac.uk

• Mathematical analysis
• Mathematics
• Analysis
• Interpolation
• Meromorphic functions
• Polynomials
• Algebraic varieties
• Complex analysis
• Chebyshev polynomials
• Chebfun
• Rational function
• Taylor series

Introduction to Numerical Analysis Spring 2016 Problem Set 9 Solutions Problem 1. Consider the integral Z

Source URL: homerreid.dyndns.org

• Mathematical analysis
• Mathematics
• Numerical integration
• Orthogonal polynomials
• ClenshawCurtis quadrature
• Approximation theory
• Fourier analysis
• Exponentiation
• Chebyshev polynomials
• Bessel function

2004 Mathematics Advanced Higher Finalised Marking Instructions Solutions to Advanced Higher Mathematics Paper

Source URL: www.sqa.org.uk

• Special functions
• Mathematical analysis
• Mathematics
• Differentiation rules
• Analytic functions
• Trigonometry
• Sine
• Product rule
• Trigonometric functions
• Chebyshev polynomials
• Natural logarithm

2003 Mathematics Advanced Higher Finalised Marking Instructions 2003 Mathematics Advanced Higher – Section A

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• Mathematical analysis
• Special functions
• Mathematics
• Trigonometry
• Orthogonal polynomials
• Ratios
• Trigonometric functions
• Sine
• Chebyshev polynomials
• Proof that is irrational

Microsoft Word - 05mi Maths AH Web FC.doc

Source URL: www.sqa.org.uk

• Special functions
• Mathematical analysis
• Mathematics
• Trigonometry
• Analytic functions
• Sine
• Natural logarithm
• Trigonometric functions
• Product rule
• Implicit function theorem
• Chebyshev polynomials

Spectral Graph Theory Lecture 24 Ramanujan Graphs of Every Size Daniel A. Spielman

Source URL: www.cs.yale.edu

• Mathematics
• Algebra
• Polynomials
• Orthogonal polynomials
• Eigenvalues and eigenvectors
• Chebyshev polynomials
• Classical orthogonal polynomials