The answers I know will vary from others and give some reasoning behind it as well.
For me my influences are:
Brian Lopes for the nature of the take off at the line and the smooth turns in 4x and Dual Slalom.
John Cowan for style.
Josh Bender for the risk taking.
To sum it all up I am a super smooth rider with a lot of style and power, who is not afraid to go big.
What are you?