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We derive the generalized Hermite interpolation by us- ing the contour integral and extend the generalized Hermite inter- polation to obtain the sampling expansion involving derivatives for band-limited functions f, that is, f is an entire function satisfying the following growth condition jf(z)jA exp(aejyj) for some A; ae > 0 and any z = x + iy 2C:

GENERALIZED HERMITE INTERPOLATION AND SAMPLING THEOREM INVOLVING DERIVATIVES