Let $X$ be a complex manifold of dimension $n$, $\Omega_{X}$ the sheaf of top degree forms, $\mathcal{D}_{X}$ the sheaf of holomorphic differential operators of infinite order and $q$ the natural projection of $X\times X$ to $X$. It seems to be known that $\mathcal{D}_{X}\simeq H^{n}_{\Delta_{X}}(q^{-1}\Omega_{X}\otimes_{q^{-1}\mathcal{O}_{X}}\mathcal{O}_{X\times X})$.
Is there any good reference of this ?