All Questions

Is there a direct analytic proof that the function $$ f ( t ) = \exp\left(-|t|^\alpha \big[ \lambda + i \theta \operatorname{sign} ( t ) \big]\right), \qquad \lambda > 0, \quad |\theta| < \...

Fix a parameter $0 < c < \infty$. As the solution to a certain problem, there is a probability density function $f_c(t)$ on $0 < t < \infty$ with mean $1$ and whose Laplace transform $L(\...