royal finger
To give someone the highest, most powerful of "flipping off" fingers
He sassed me so i gave him the royal finger
Royal Finger Wave
The act of a member of the Royal Family waving at a member of the public but not in a Royal style (hand rotating in a forward direction with fingers fixed at a horizontal angle) but with their hand and fingers pointing to the person and them moving their fingers up and down in a friendly manner just like they are waving at an acquaintance.
In 1982 the Queen Mum waved at me with a Royal Finger Wave and not the usual Royal Wave whilst I crossed a bridge over the River Thames in London with my father.