The Summation of Series Involving Roots of Transcendental Equations and Related Applications
The Summation of Series Involving Roots of Transcendental Equations and Related Applications
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超越方程根级数的求和及相关应用
DOI：
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发表时间：
1953
期刊：
影响因子：
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通讯作者：
M. R. Speigel
中科院分区：
文献类型：
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作者：
M. R. Speigel
包含某些具有真实的根的超越方程的根的级数的求和是通过初等的考虑来实现的。该方法是由几个例子，这些可能出现在应用程序中的代表。除了求和级数外，该方法还可用于求超越方程的最小正根，达到任何所需的精度，但计算量很小。
The summation of series involving the roots of certain transcendental equations having real roots is achieved by elementary considerations. The method is illustrated by several examples representative of those which may arise in applications. In addition to summing series, the method can be used to obtain the least positive root of the transcendental equation to any desired accuracy with but little computation.