Is there a word to describe the situation where you call someone and hang up so they call you back?

Solution 1:

Apparently in Czech its called "Prozvonit" which in English is close to "ping" "pinging". Also I've heard people call it "prank" "pranking".

Solution 2:

My friend regularly uses the expression to ring one's phone.

Ex: "Ring my phone when you're over the bridge," the implication being that he won't answer because I'm calling his phone, rather than calling him.

I would note that this is distinct from onomatomaniak's comment-answer to ring someone, which is a British English colloquialism for calling someone.

Solution 3:

The term I have always used is drop call.

If you drop call someone you hope they'll call you back, but it can make the recipient a bit annoyed.