Moments of Generalized Parteo Distribution

Dear all,

I have got a question regarding the GDP. Is there a general result of how the variance and the expected value of a GDP distributed random variable x with expected value E(x) change if one would change the scale parameter and/or the shape parameter by constant a and/or b?
For example by result i mean something like: Assume we would multiply the scaleparameter by a (scale*a) then it follows that a*E(x).

Thanks a lot for your help in advance.