Let $G \in \text{Geometric}(\theta)$ be a D4001: Geometric random positive integer.
Let $t \in \mathbb{R}$ be a D993: Real number.
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}