**As for a specific statement in the Greek New Testament, Matthew 28:19 is sufficient. There, Jesus instructs his disciples to baptize new believers in “the name of the Father, the Son, and the Holy Spirit.”**
The apostles obeyed the Lord’s command in Matthew 28:19, and baptized in the name (singular) “of the Father, and of the Son, and of the Holy Ghost”, which is “Jesus”. Every DETAILED baptism (or DETAILED instruction of baptism) in Acts, was done in the name of Jesus: 2:38; 8:12,16; 10:48; and 10:5.
Jesus Christ declared that his name was not his own, but that he came in his Father’s name: “I am come in my Father’s NAME, and ye receive me not: if another shall come in his OWN name, him ye will receive”. John 5:43.
The Son of God shows that to be the case here as well: “Father, glorify THY NAME. Then came there a voice from heaven, saying, I have glorified it, and will glorify it again.” John 12:28
And again: “I have glorified THY NAME unto the men which thou gavest me out of the world..”. John 17:6. (And, by obedience to Christ’s command in Matthew 28:19, what NAME did those men use in baptism?...JESUS!
Joseph was commanded by the angel to call the Son’s name JESUS (Matt. 1:21). The writer of Hebrews says that the Son “hath by INHERITANCE obtained a more excellent name than they” (the angels). Heb. 1:4. (remember John 5:43?)
And the name that sends the Holy Ghost, is JESUS: “..the Comforter, which is the Holy Ghost, whom the Father will send in MY NAME..”. John 14:26,
Paul reminded the saints at Rome, “Know ye not, that as many of us as were baptized into Jesus Christ were baptized into his death?” Romans 6:3
When reprimanding the saints at Corinth (that had become proud, bragging about who baptized them, instead of who they were baptized into), Paul said: “Is Christ divided? was Paul crucified for you? or were you baptized in the name of Paul?” 1Cor. 1:13
**(Remember that Matthew was a Jewish monotheist, writing for fellow-Jewish monotheists, and so this formula is quite striking, speaking of the Father, the Son, and the Holy Spirit on equal terms.**
(’formula’? now there’s some private interpretations at work)
Oh, it’s striking alright......strikingly unfortunate that trinitarians fail to see the command first initiated in Acts 2:38.
**Can you imagine immersing people into a new faith in “the name of God and of our denominational founder and of our favorite teacher”? That would be blasphemous.)**
(What do you call baptizing in the name of Jesus?)
On the day of Pentecost, when the Spirit was poured out, Peter preached the first post-ascension sermon to the lost. Who were convicted in their hearts, and responded by asking: “Men and brethern, what shall we do?”
Then Peter said unto them, “Repent, and be baptized every one of you in the name of Jesus Christ for the remission of sins, and ye shall receive the gift of the Holy Ghost. For the promise is unto you, and to your children, and to all that are afar off, even as many as the Lord our God shall call”. Acts 2:38,39.