Yep, it’s the same name as the one who commanded it in that verse.
.............................................
The name of the Son is Jesus. The name of Jesus' Father is YHWH (Yehowah). The name of the Holy Spirit is ....... Wait. The HS has no personal name. Probably because it is not a person. Its description (holy spirit) is in the
neuter gender in NT Greek and feminine gender in Hebrew (most often used for
things in ancient Hebrew since there is no neuter gender in Hebrew).
So it is that when "in the name (
singular) of" is used for more than one thing, it has the meaning of "in recognition of" or "by the authority of." It is used that way in English as well as NT Greek.
"In the name (singular) of the Father (masc.) and of the Son (masc.) and the Holy Spirit (neut.)" simply means in recognition of them.
We see the same thing in English: "Open in the name of the law and the crown."
Since it clearly means “in recognition of the power, or authority of,” it is perfectly correct to use “name” in the singular. In fact, it must be used that way. We even recognize this in our own language today. We say, for example, “I did it
in the name [singular] of love, humanity, and justice.”
There is a famous statement in United States history that perfectly illustrates this use of the singular “name” when it is being used to mean “in recognition of power or authority.” Ethan Allen, writing about his capture of Fort Ticonderoga in 1775, quoted the words he spoke when the British commander of that fort asked him by what authority Allen had captured it.
Ethan Allen replied:
“
In the name [singular] of the Great Jehovah
and the Continental Congress.” - p. 100,
A Book About American History, Stimpson, Fawcett Publ., 1962 printing. (Also see
Rebels and Redcoats, p. 54, Scheer and Rankin, Mentor Books, 1959 printing; and p. 167, Vol. 1,
Universal Standard Encyclopedia, the 1955 abridgment of the
New Funk and Wagnalls Encyclopedia.)
How ludicrous it would be to conclude that Allen really meant that Jehovah and the Continental Congress had
the same personal name and were
both equally God!
Noted trinitarian scholar Robertson’s
Word Pictures in the New Testament, Vol.1, p. 245, makes the same admission when discussing Matt. 28:19:
“The use of name (
onoma) here is a common one in the Septuagint and the papyri for
power or
authority.”