Noun
(phonology) In the French language usage of the letter h at the start of a word which allows liaison with a preceding consonant.
The French word homme ("man") begins by a mute h. Consequently we can say l'homme /l‿ɔm/ and les hommes /le‿zɔm/, but never /lə ɔm/ and /le ɔm/, like we do with the aspirated h.
Synonym: h muet
(linguistics, phonetics, literally) non-aspiration of a glottal consonant
Source: en.wiktionary.org