论文标题

从分析和概率的角度对切线函数的评论

Remarks on the tangent function from an analytic and probability point of view

论文作者

Jurek, Zbigniew J.

论文摘要

我们表明,函数$ \ tan(1/it)$是一个选择函数(自然可划分的转换),并以概率指示其连接。此外,我们在经典的无限分开的措施中发现了其“对应”,这些措施表示为一系列Rademacher变量。

We show that a function $\tan(1/it)$ is a Pick function (free-infinitely divisible transform) and indicate its connections with a probability. Moreover, we found its "counterpart" in classical infinitely divisible measures expressed as series of Rademacher variables.

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