Let $X \sim \text{Exp}(\lambda), Y \sim \text{Exp}(\mu),$ and $Z = X/Y$. Find the pdf of $Z$.

Question

I have random variables $X, Y, Z$, where

$X \sim \text{Exp}(\lambda), Y \sim \text{Exp}(\mu),$ and $Z = X/Y$.

I calculated the PDF of $Z$ as

$$h(z) = \frac{\lambda\mu}{(\mu+\lambda z)^2}$$

Could you tell me if this is the PDF of a known distribution (like Beta, Gamma, ...) ?