Coker, 21, arrives at Glossop North End on a one-month loan deal from Macclesfield, where he has made 11 appearances this season, scoring once.
White, 21, joins from Wythenshawe Amateurs on dual-registration. The youngster is a creative midfielder with five goals in 19 games in the NWCFL so far this season.
Mulvey, 20, makes the switch from Pitching In Northern Premier League Premier Division side FC United of Manchester on a temporary basis.
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