Pump faking is a feigned attempt to pass or shoot the ball in football or basketball, respectively. It is a fundamental move in basketball, used to cause defenders to jump or be shifted off-balance. Its main applications are in the low post area, where a player is much more likely to have their shot blocked. On the perimeter, it is useful in creating open lanes to the basket by "showing" the ball enough to entice a defender to attempt to block or steal it, allowing the dribbler to penetrate easily. In football, a pump fake is a move by the quarterback to deceive the defense.
According to Urban Dictionary, "pumpfaking" can also refer to pretending to have a weapon, normally a gun, around your waistband. However, this definition is not related to sports.
Merriam-Webster defines "pump fake" as a fake in which a player simulates throwing a pass (as in football) or taking a shot (as in basketball) .
In summary, pump faking is a move used in basketball and football to deceive defenders by feigning an attempt to pass or shoot the ball.