We introduce a certain multiple Hurwitz zeta function as a generalization of the Mordell–Tornheim multiple zeta function, and study its analytic properties. In particular, we evaluate the values of the function and its first and second derivatives at non-positive integers.

中文翻译：

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Mordell-Tornheim型的多重Hurwitz zeta函数

我们引入了某个多重 Hurwitz zeta 函数作为 Mordell-Tornheim 多重 zeta 函数的推广，并研究了它的解析性质。特别是，我们在非正整数处评估函数的值及其一阶和二阶导数。