Some Generalized Harmonic Number Identities
Some Generalized Harmonic Number Identities
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发表时间：
2011-03
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通讯作者：
M. Kronenburg
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作者：
M. Kronenburg
分部求和用于求包含特定多项式或有理函数的广义调和数的有限级数的和。利用幂和的Euler-Maclaurin公式求出了某些非负整数幂的广义调和数的有限级数的和，并利用该公式求出了多项式的广义调和数的有限级数的和.提供了许多例子和计算机程序。
Summation by parts is used to find the sum of a finite series of generalized harmonic numbers involving a specific polynomial or rational function. The Euler-Maclaurin formula for sums of powers is used to find the sums of some finite series of generalized harmonic numbers involving nonnegative integer powers, which can be used to evaluate the sums of the finite series of generalized harmonic numbers involving polynomials. Many examples and a computer program are provided.