I have a non standardized t distribution with parameters $\nu$,$\beta$ (or sometimes also denoted by $\sigma^2$) and $\nu$. Now I want to get the quantiles of it. qt just calculates the quantile of a standardized t distribution, I know there exist a monotonic transformation, BUT I do not want to use this, so I want to calculate the quantile of a non-standardized t distribution. Is there any preimplemented function in R?
If there is no function, the quantile is the inverse of the cdf, how can I implement this in R?