[工數] 一個Rodrigue的題目
試證:
1
∫ x^m‧P_n(x) dx = 0 for m = 0,1,2,....,n-1
-1
P_n(x):Legendre多項式
n
1 d
Hint:利用Rodrigue's公式:P_n(x) = ----------- ---- [ (x^2 - 1)^n ]
2^n‧n! dx^n
感謝Orz
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