缓慢收敛级数的和

Edinburgh Mathematical Notes Pub Date : 1900-01-01 DOI:10.1017/S0950184300002950

S. Paterson

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摘要

当x较大时，r为0或整数的级数收敛得很快，但当x较小时，级数收敛得很慢。本文的目的是推导出s2r (x)的另一种级数，它对x的小值是快速收敛的。

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The summation of a slowly convergent series

The series in which r is zero or an integer is rapidly convergent if x is large but may be very slowly convergent if x is small. The object of this note is to derive an alternative series for S 2r ( x ) which is rapidly convergent for small values of x .

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Edinburgh Mathematical Notes

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