Abstract
We derive the generalized Hermite interpolation by using the contour integral and extend the generalized Hermite interpolation to obtain the sampling expansion involving derivatives for band-limited functions f, that is, f is an entire function satisfying the following growth condition ｜f(ｚ)｜<TEX>$\leq$</TEX> A exp(<TEX>$\sigma$</TEX>｜y｜) for some A, <TEX>$\sigma$</TEX> > 0 and any ｚ=<TEX>$\varkappa$</TEX> + iy∈C.
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