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Consider the Legendre polynomials of degree n Ph(x) = Σ (1)m 0

Consider the Legendre polynomials of degree n Ph(x) = Σ (1)m 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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Consider the Legendre polynomials of degree n Ph(x) = Σ (1)m 0<m</ where n is a nonnegative integer and m= (0,1,2,... (¹ or n)). Which of the following is NOT correct? (A) P₁(x) = x. (B) P3(x) = (5x³ – 3x). (C) P2k (0) = (-1)k_(2k)! (D) P2k+1(0) = 0, kEN. (E) ₁ P₁(x) P3(x) dx = 0. (2n - 2m)! 2m!(nm)!(n-2m)! KEN. n-2m
Transcribed Image Text:Consider the Legendre polynomials of degree n Ph(x) = Σ (1)m 0<m</ where n is a nonnegative integer and m= (0,1,2,... (¹ or n)). Which of the following is NOT correct? (A) P₁(x) = x. (B) P3(x) = (5x³ – 3x). (C) P2k (0) = (-1)k_(2k)! (D) P2k+1(0) = 0, kEN. (E) ₁ P₁(x) P3(x) dx = 0. (2n - 2m)! 2m!(nm)!(n-2m)! KEN. n-2m
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