Using the curvature tensor of the complex conformal connection, the tensor (2.28) is constructed. This tensor generalizes the Bochner curvature tensor as well as the complex conharmonic curvature tensor. Using the curvature tensor of the contact conformal connect i on, the tensor (5.6) is constructed. This tensor generalizes the contact Bochner curvature tensor as well as the contact conharmonic curvature tensor.