  The diagrammatic theory is proposed for the strongly correlated impurity
Anderson model. The strongly correlated impurity electrons are hybridized with
free conduction electrons. For this system the new diagrammatic approach is
formulated. The linked cluster theorem for vacuum diagrams is proved and the
Dyson type equations for electron propagators of both electron subsystems are
established, together with such equations for mixed propagators. The
approximations based on the summing the infinite series of diagrams are
proposed, which close the system of equations and permit the investigation of
the system's properties.
