How to add to each element of an array

I'm trying to take each element of an array that's generated from a SPLIT function and do some math on them, specifically, I want to add 3 to each element.

1. Cell starts off with this: 1,2,3,4,5
2. SPLIT function turns this into an array: 1 | 2 | 3 | 4 | 5
3. Adding 3 to each elements turns it into this: 4 | 5 | 6 | 7 | 8

I've been searching seemingly forever, to no avail. It would be great if there was a simple solution like some kind of increment function that returns another array like this: INCREMENT(SPLIT(AB37,","),3)

Have someone done something like this before?