Dmaj7 chord inversions
Dmaj7/F#, Dmaj7/A and Dmaj7/C# are the first, second and third inversions of the Dmaj7. This means that the bass tone is shifting from D to F sharp, A or C sharp.
Dmaj7/F#
Dmaj7/A
Dmaj7/C#
Theory and information
All these chords consist of the notes D, F#, A, C#. The difference is that the order of notes shifts. F# is the bass note in the first inversion, A is the bass note in the second inversion and C# is the bass note in the third inversion.
Alternative fingerings
Avoiding the half bar in Dmaj7F# is done with the alternative 20022X. An alternative primarily for fingerpicking situations is Dmaj7/A as 544X3X. An alternative for Dmaj7/C# in closed position is X4423X.
Alternative chord names
Dmaj7/C# is identical with D/C#.
Try in a chord progression
Em7 - A13 - Dmaj7/C#
Chords that sound good together with D major 7th inversions
Some typical chords that are likely to be included in progressions with these chords are: Em7, F#m7, Gmaj7, A7sus4, Bm7.