Maybe not much of a study, but there is a lot of examples. Paul Graham developed viaweb using common lisp and ran circles around his competition using C++. I read another one involving APL in the early ~80s for financial reporting uses. Back then with Fortran or C you'd have to have the programmer go back and rewrite chunks of the code if the VP wanted to invert a table, but it's immediate in APL with like a single character change. The programmer would just say "sure", click the key, and print out the answer.

So in general, I think dynamic languages are probably better for getting together a prototype for many use cases, but they don't scale as well to a large number of users or high performance uses.