English

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

Probability 2021-02-26 v2

Abstract

We show that a function tan(1/it)\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.

Cite

@article{arxiv.2006.04477,
  title  = {Remarks on the tangent function from an analytic and probability point of view},
  author = {Zbigniew J. Jurek},
  journal= {arXiv preprint arXiv:2006.04477},
  year   = {2021}
}
R2 v1 2026-06-23T16:08:25.818Z