  We study the general Capelli identities for immanants using the matrix method
that extends Williamson's results. We also obtain generalized Turnbull's
identities for both symmetric and antisymmetric matrices, as well as the
generalized Howe-Umeda-Kostant-Sahi identities for antisymmetric matrices which
confirms the conjecture of Caracciolo, Sokal and Sportiello.
