  The D-brane superpotential is very important in the low energy effective
theory. As the generating function of all disk instantons from the worldsheet
point of view, it plays a crucial role in deriving some important properties of
the compact Calabi-Yau manifolds. By using the GKZ-generalized hypergeometric
system, we will calculate the B-brane superpotentials of two non-fermat type
compact Calabi-Yau hypersurfaces in toric varieties,respectively. Then
according to the mirror symmetry, we obtain the A-model superpotentials and the
Ooguri-Vafa invariants for the mirror Calabi-Yau manifolds.
