In this work we provide a new short proof of closed formulas for the n-th derivative of the cotangent and secant functions using simple operations in the context of the Zeon algebra. Our main ingredients in the proof comprise a representation of the ordinary derivative as an integration over the Zeon algebra, a representation of the Stirling numbers of the second kind as a Berezin integral, and...

The generalized hypergeometric function has three singular points 0, 1, and ∞. Connection problem between fundamental solutions at 0 ∞ was completely solved. However, connection 1 been not solved because of holomorphic 1. In this paper, we solve for the function, using analytic continuation integral representation. Namely, all coefficients are products sine cosecant. other words, give a good sy...

A bstract We present a novel construction for Higgs-VEV sensitive (HVS) operator, which can be used as trigger operator in cosmic selection models the electroweak hierarchy problem. Our does not contain any degrees of freedom charged under SM gauge symmetries, leading to reduced tuning resulting models. is based on extension two Higgs doublet model (2HDM) with softly broken approximate global D...

<p style='text-indent:20px;'>Joint densities for a sequential pair of returns with weak autocorrelation and strong correlation in squared are formulated. The marginal return either variance gamma or bilateral gamma. Two-dimensional matching empirical characteristic functions to its theoretical counterpart is employed dependency parameter estimation. Estimations reported 3920 daily sequenc...