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We compute analytic results for the QCD corrections to Higgs boson productionvia gluon fusion in hadronic collisions in the limit in which the top quark ismuch heavier than the Higgs boson. The first non-leading corrections of$\O(\alpha_s^3 \mh^2/m_t^2)$ are given and numerical results presented for bothLHC and SSC energies. We confirm earlier numerical results showing that thedominant corrections have the same mass dependence as the Born cross section.Comment: 27 pages plus 8 figures in uuencoded tar-compressed format, BNL-DK

QCD corrections to Higgs boson production: Nonleading terms in the heavy quark limit