On Some Sums of Digamma and Polygamma functions
On Some Sums of Digamma and Polygamma functions
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关于 Digamma 和 Polygamma 函数的一些和
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
M. Milgram
中科院分区：
文献类型：
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作者：
M. Milgram
许多涉及二伽马和多伽马函数之和的公式被收集和发展，这些公式很少出现在标准参考书或文献中，但在应用中经常出现。在此过程中，提出了对超几何函数族某些特定成员的新评估 - 4F3(1) - 并与欧拉和建立了联系。所有的证明都是草图。
Many formula involving sums of digamma and polygamma functions, few of which appear in standard reference works or the literature, but which commonly arise in applications, are collected and developed. Along the way, a new evaluation for some particular members of the family of hypergeometric functions - 4F3(1) - is presented, and a connection is made with Euler sums. All proofs are sketched.