ThmDex – An index of mathematical definitions, results, and conjectures.
F11882
Formulation 1
Let $G \in \text{Geometric}(\theta)$ be a D4001: Geometric random positive integer.
Let $t \in \mathbb{R}$ be a D993: Real number.
Then \begin{equation} \mathfrak{F}_G(t) = \frac{\theta}{e^{- i t} - (1 - \theta)} \end{equation}