wave

verb [ I or T ]

wave verb [I or T] (MOVE HAND)
to raise your hand and move it from side to side as a way of greeting someone, telling someone to do something, or adding emphasis to an expression:

• wave to/at: I waved to/at him from the window but he didn't see me.
• I was waving my hand like mad but he never once looked in my direction.
• She was so annoyed she wouldn't even wave us goodbye/wave goodbye to us.
• wave your hand about/around: She waves her hands about/around a lot when she's talking.

For more details, visit the Cambridge Dictionary.