论文标题
关于Hurwitz Zeta功能及其在双曲线概率分布中的应用
On the Hurwitz Zeta Function and Its Applications to Hyperbolic Probability Distributions
论文作者
论文摘要
在本文中,我们在1895年提出了詹森公式的新证明。我们还得出了与Pitman and Yor中类似的一些公式,2003年。此外,还得出了广义Bernoulli函数的新公式。在论文的最后,简要研究了SINH和TANH的概率密度函数。
In this paper, we propose a new proof of the Jensen formula in 1895. We also derive some formulas similar to those in Pitman and Yor, 2003. Besides, a new formula of the generalized Bernoulli function is also derived. At the end of the paper, the probability density functions of sinh and tanh are studied briefly for general cases.