Abstract–We explore the applications of the Euler–Maclaurin formula in analyzing functions expressed as infinite series and products. Three illustrative examples show the difficulties that may be encountered and the means by which these can be overcome.

中文翻译：

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系列和产品分析。第1部分：欧拉-麦克劳林配方

摘要–我们探索了Euler–Maclaurin公式在分析表示为无穷级数和乘积的函数中的应用。三个说明性示例显示了可能遇到的困难以及可以克服这些困难的方法。