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<正> Suppose that g(z)=z+a_2z~2+…is analytic for |z|<1, The condition Re{z g(z)/g(z)}>0 for |z|<1 (1) is necessary and sufficient for g(z) to be univalent and starlike for |z|<1. The condition Re{z g″(z)/g′(z)+1}>0 for |z|<1 (2) is