The holomorphic dependence of the integral on l follows from (4).
For convenience we ignore the dependence of f on g.
For simplicity, we suppress the explicit dependence on x in the notation.
When there is no ambiguity we drop the dependence on B and write just YT for YT,B.
Strictly speaking, we should write something like a(l,m,n) to reflect the dependence; we shall rely upon context instead.
We must now bring dependence on d into the arguments of .