If we add them, we might want to use the full name (cumulative_...), xref data-apis/array-api#597 (comment)

These APIs are likely to be added to the 2023 revision of the array API standard. May be preferable to either wait until the naming convention is sorted there, or help participate in that discussion. Apart from cumulative_sum, another alternative is cusum.

have updated, thanks

let's go with cumulative_, and we can always update later again if necessary?

let's go with cumulative_, and we can always update later again if necessary?

That sounds fine to me - keeps the ball rolling.

for sum and prod, yes

for cumulative_min and cumulative_max, I think we could be more precise: Column[DType] (it should be preserved for these two operations, right?)