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The Chebyshev (Tchebichef) polynomials Tn(x) are

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider ISBN: 9780321747730 43

Solution for problem 38E Chapter 8.8

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Fundamentals of Differential Equations | 8th Edition

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Problem 38E

Problem 38E

The Chebyshev (Tchebichef) polynomials Tn(x) are polynomial solutions to Chebyshev’s equation

The Chebyshev polynomials satisfy the recurrence relation

Step-by-Step Solution:
Step 1 of 3

PolRational Functions g will . The number 0 n a mbers and the ran yomials are referred to as ree 4 pol g f x a x a x a x a 0      ns a functionre real numbers with a a, ,..., ... 0 1

Step 2 of 3

Chapter 8.8, Problem 38E is Solved
Step 3 of 3

Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

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The Chebyshev (Tchebichef) polynomials Tn(x) are