Dober Hyper Function unlocks new area of mathematics [I think]

[fringe scaffold]

Off of the continuation of Blueberries Post, the DHF has proven to be remarkably interesting.
Full Information:
https://docs.google.com/document/d/1ybFxNzG2OeJ4lUzfCuR8k0NJdTfn_E3SuYmO0RrtRo4/edit#heading=h.nmwlt9srroyt

[terse fern]

Access denied

[fringe scaffold]

ah I knwo

"know

@terse fernTry it now, https://docs.google.com/document/d/1ybFxNzG2OeJ4lUzfCuR8k0NJdTfn_E3SuYmO0RrtRo4/edit#heading=h.nmwlt9srroyt

[left wagon]

this is not exactly true

the DHF can compute x + ... + y

= y(y-1)/2 - (x-1)(x-2)/2

it can also compute x*...*y

= y!/(x-1)!

but it does not have the kind of ability to elevate things other than increasing chains of integers

i also think you have an interesting way of rational elevation

however

it does not work like i expect, i.e. the 4/3 elevator should be something between the 1 elevator and the 2 elevator

if you have a sequence of rationals approaching some number, the elevation answer does not approach something

however, it's not that expected, but maybe you can do some work to find fractional hyperoperations

[left wagon]

ah yes i see you already solved that with the dober crosh hyperfunction