My Yellow, hippo & Red Sea Sailfin tangs all get along great with each other. They were however introduced to tank at one time & very young.
When later I inquired about adding a purple to the mix, my LFS told me it was sure to tangle with the yellow. Not because of different colors, but because of similar body shapes.
Took his word for it and never tried it.
Whatever you decide on, get them small and introduce all together. (make sure tank is well established and can handle bioload)
Good Luck
OmarD