to not pronounce the letter h at the beginning of words in which it should be pronounced

He drops his aitches and it really annoys my parents.

I confess I dropped my aitches just to fit in.

Now and then she would drop her h's in an effort to appear less posh.

I'm not going to start dropping my aitches just to gain some credibility with these people.

At the time, she was widely mocked for dropping her h's.

See also: drop verb (FALL)