On Function Sum Theorems Connected with the Series ∑n=1∞xnn2
On Function Sum Theorems Connected with the Series ∑n=1∞xnn2
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与级数有关的函数和定理 Σn=1∞xnn2
DOI：
10.1112/plms/s2-4.1.169
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发表时间：
2000
影响因子：
1.8
通讯作者：
L. J. Rogers
中科院分区：
文献类型：
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作者：
L. J. Rogers
笛卡尔坐标，让我们暂时假设这条曲线在包括(0，1)在内的n个实点上切线y=1。在这种情况下，很明显曲线将在n个实点上截断直线y=1-m，只要有m<；1；这样我们就可以把m-p1x+p2x2-…±pnxn=m{L-x){-2x)…(1-nx)，其中X也是实的。
Cartesian coordinates, and let us suppose for the present that this curve cuts the line y= 1 in n real points, including (0, 1). In this case it is evident that the curve will cut the line y= 1—m in n real points, provided m< 1; so that we may put m—p1x+ p2x2—...±pnxn= m {l—\x){\—\2x)...(1—\nx), where the X's are also real.