  The Defect Recollement, Restriction Recollement, Auslander-Gruson-Jensen
Recollement, and others, are shown to be instances of a general construction
using derived functors and methods from stable module theory. The right derived
functors $\textsf{W}_k:=R_k(\hspace{0.05cm}\underline{\ \ }\hspace{0.1cm} )^*$
are computed and it is shown that the functor
$\textsf{W}_2:=R_2(\hspace{0.05cm}\underline{\ \ }\hspace{0.1cm} )^*$ is right
exact and restricts to a duality $\textsf{W}$ of the defect zero functors. The
duality $\textsf{W}$ satisfies two identities which we call the Generalised
Auslander-Reiten formulas. We show that $\textsf{W}$ restricts to the
generalised Auslander-Bridger transpose and show that the Generalised
Auslander-Reiten formulas reduce to the well-known Auslander-Reiten formulas.
