{The name of the Lord Jesus} (	o onoma ton kuriou I(8873)ou).
Apollos was not rebaptized. The twelve apostles were not
rebaptized. Jesus received no other baptism than that of John.
The point here is simply that these twelve men were grossly
ignorant of the meaning of John's baptism as regards repentance,
the Messiahship of Jesus, the Holy Spirit. Hence Paul had them
baptized, not so much again, as really baptized this time, in the
name or on the authority of the Lord Jesus as he had himself
commanded ( Mt 28:19 ) and as was the universal apostolic custom.
Proper understanding of "Jesus" involved all the rest including
the Trinity (Father, Son, and Holy Spirit). Luke does not give a
formula, but simply explains that now these men had a proper
object of faith (Jesus) and were now really baptized.