I have the BC tranformation:
I need to show that this give a continous famly of transformations in .
How do I go about doing this?
I think the question is just asking for you to show that, for fixed y, the function is continuous in . For this trivial. To show continuity at it suffices to show that
which is easy. The simpliest way of going about this is to define and write which is a form that we all recognize.