| 关于勒让德多项式导数的正交性 |
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| 引用本文： | 刘缵武.关于勒让德多项式导数的正交性[J].大学数学,2000(3). |
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| 作者姓名： | 刘缵武 |
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| 作者单位： | 郑州测绘学院!郑州450052 |
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| 摘 要： | 本文证明了勒让德多项式 Pn( x)的 k阶导数 P( k)n ( x)是 -1 ,1 ]上关于权函数 ρ( x) =( 1 -x2 ) k的正交多项式 ,推广了 1 ]的结果 .
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| 关 键 词： | 勒让德导数多项式 正交 权 |
Orthogonality of Derivatives of Legendre Polynomials |
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| LIU Zuan,wu.Orthogonality of Derivatives of Legendre Polynomials[J].College Mathematics,2000(3). |
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| Authors: | LIU Zuan wu |
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| Abstract: | In this paper, we prove that the k order derivatives of Legendre polynomials form an orthogonal system on the closed interval -1,1] with weight ρ(x)=(1-x 2) k . This extends a result proposed by 1]. |
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| Keywords: | derivatives of Legendre polynomials orthogonal system weight |
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