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A137449号 |
| 基于对现有序列的运算概念的三角序列:在这种情况下,H(x,n)(A060821型)传统的Hermite被区分了两次:p(x,n)=-x^2*H''(x,n)+H(x,m)。 |
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1, 1, 1, -2, 0, -4, 0, -12, 0, -40, 12, 0, 48, 0, -176, 0, 120, 0, 800, 0, -608, -120, 0, -720, 0, 5280, 0, -1856, 0, -1680, 0, -16800, 0, 25536, 0, -5248, 1680, 0, 13440, 0, -147840, 0, 103936, 0, -14080, 0, 30240, 0, 403200, 0, -919296, 0, 377856, 0, -36352, -30240, 0, -302400, 0, 4435200, 0, -4677120, 0
(列表;桌子;图表;参考;听;历史;文本;内部格式)
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抵消
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1,4
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评论
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行总和为:
{1, 2, -6, -52, -116, 312, 2584, 1808, -42864, -144352, 601504};
作为与能量哈密顿量类似的算子代数:
e(n)*H(x,n)=p(x,n)/x^2
行和的相对能量比切比雪夫的上升速度快得多
第一类。
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链接
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配方奶粉
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p(x,n)=-x^2*H''(x,n)+H(x,m)
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例子
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{1},
{1, 1},
{-2,0,-4},
{0, -12, 0, -40},
{12, 0, 48, 0, -176},
{0, 120,0, 800, 0, -608},
{-120, 0, -720, 0, 5280, 0, -1856},
{0, -1680, 0, -16800, 0, 25536, 0, -5248},
{1680, 0, 13440, 0, -147840, 0, 103936, 0, -14080},
{0, 30240, 0, 403200, 0, -919296, 0, 377856, 0, -36352},
{-30240, 0, -302400, 0, 4435200, 0, -4677120,0, 1267200, 0, -91136}
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数学
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清除[p,x,a]p[x,0]=1;p[x,1]=x+1;p[x_,n]:=p[x,n]=-x^2*D[HermiteH[n,x],{x,2}]+HermiteH[n,x];表[展开[p[x,n]],{n,0,10}];a=表[系数列表[p[x,n],x],{n,0,10}];压扁[a]
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交叉参考
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关键词
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作者
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状态
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经核准的
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