From Longman Dictionary of Contemporary Englishunder the influence (of alcohol/drink/drugs etc)under the influence (of alcohol/drink/drugs etc)DRUNKdrunk or feeling the effects of a drug → influence
Examples from the Corpus
under the influence (of alcohol/drink/drugs etc)• The weather became cooler under the influences of cold breezes from the frozen north, observed my master.• Today I write this, happily, under the influence of a drug.• The motor velocity increases under the influence of the positive torque and the equilibrium position is attained with maximum velocity.• Cowan suggests that the strength of the excitatory interactions increases relative to that of the inhibitory interactions under the influence of the drug.• The roads, under the influence of the rain, were becoming shocking.• Teenagers under the influence of the locally produced khat narcotic plant were said to be responsible for much of the artillery fire. 