Distribution of the ratio of two generalized gamma distribution with same location parameters?

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X $\sim$ GG(p,d,$\theta_{1}$,$\mu$) where p is power, d is shape, $\theta_1$ is scale and $\mu$ is location parameter. Also Consider Y $\sim$ GG(p,d,$\theta_{2}$,$\mu$) where p is power, d is shape, $\theta_2$ is scale and $\mu$ is location parameter.

What is the distribution of $\;Z=\frac{X}{Y}$?

All the papers I read so far only have the case without location parameter. Please help. Thanks