The Jesus' name doctrine or the Oneness doctrine upholds that baptism is to be performed "in the name of Jesus Christ,"[1] rather than using the Trinitarian formula "in the name of the Father, and of the Son, and of the Holy Spirit."[2][3] It is most commonly associated with Oneness Christology and the movement of Oneness Pentecostalism; however, some Trinitarians also baptise in Jesus' name and interpret it as on the authority of Jesus' name which most of mainstream Christendom justifies as referencing the existence of a Trinitarian Christian deity through the Great Commission among other precepts such as instances in the Old Testament.[4][5][6][7]
Those who ascribe to the Oneness doctrine believe that "Jesus" is the name of God revealed in the New Testament and that Father, Son, and Holy Spirit are three manifestations or titles of the one God.
Let's take a look at what is going on in the verses. The phrase, "in the name of the Lord," is not a reference to a baptismal formula but a reference to authority. It is similar to hearing someone say, "Stop in the name of the Law!" We understand that the "name of the Law" means by the authority of the Law. It is the same with baptism "in Jesus' name." To baptize in Jesus' name is to baptize in the authority of Jesus.