The Knights have beaten Memphis three straight times.
Davis, who has now reached double digits in rebounds in nine of the Knights' 15 games, recorded his fifth double-double of the season.
Djordjije Mumin drilled a trey with :12 left in the first half to cut the Tigers' lead to 22-21 at intermission, but Jamal Johnson hit two straight 3-pointers for Memphis to spark a 36-32 advantage barely five minutes into the second half. UCF (11-4, 2-1) responded with a 9-0 run to take a lead it never relinquished.
Ceasar DeJesus scored 14 points for UCF and Tacko Fall added another 10.
Kareem Brewton Jr. scored 15 points to lead Memphis (9-6, 0-2).
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