For a regular A*B multiplication, the number of columns in A should match the number of rows in B. For transposed A, the number of rows in A must match the number of rows in B. These operations/parameters are very standard and follow NETLIB blas for the most part. Please refer to NETLIB blas (http://www.netlib.org/blas/) documentation if you need better understanding.
The parameters might be "very standard" but the blas API is not the same as the clAmdBlas one. And furthermore why bother with documenting your functions in clamdblas.refspec.pdf if they're so "very standard"?
I think the documentation can be improved and instead of referring to matrix A or matrix B, you can follow BLAS's documentation and refer to them as op(A) and op(B).
And if you decide to go that way, you might as well copy the text for the leading dimensions from NETLIB. It's a bit more clear on what they're supposed to be.