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. For n, m 20 and n # m, show S' T.(z)Tm(7). VI- -dr 0 This is called the orthogonality relation for Chebyshev polynomials. Hint: Use T,(r) = cos(n cos-(r)) and a = cos 0.

. For n, m 20 and n # m, show S' T.(z)Tm(7). VI- -dr 0 This is called the orthogonality relation for Chebyshev polynomials. Hint: Use T,(r) = cos(n cos-(r)) and a = cos 0.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. For n, m >0 and n + m, show T„(r)T (1) dr 0 VI- V1-r This is called the orthogonality relation for Chebyshev polynomials. Hint: Use T,(r) = cos(n cos-(x)) and z = cos e.
Transcribed Image Text:5. For n, m >0 and n + m, show T„(r)T (1) dr 0 VI- V1-r This is called the orthogonality relation for Chebyshev polynomials. Hint: Use T,(r) = cos(n cos-(x)) and z = cos e.
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