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In this paper, we propose another characterization of the generalized mirrortransformation on the quantum cohomology rings of general type projectivehypersurfaces. This characterics is useful for explicit determination of theform of the generalized mirror transformation. As applications, we rederive thegeneralized mirror transformation up to $d=3$ rational Gromov-Witten invariantsobtained in our previous article, and determine explicitly the the generalizedmirror transformation for the $d=4, 5$ rational Gromov-Witten invariants in thecase when the first Chern class of the hypersurface equals $-H$ (i.e.,$k-N=1$).Comment: 16 pages, Latex, some comments added, minor errors are correcte

VIRTUAL GROMOV–WITTEN INVARIANTS AND THE QUANTUM COHOMOLOGY RINGS OF GENERAL TYPE PROJECTIVE HYPERSURFACES