Large helix ordinal

The ordinal "𐰚" (sometimes written as "𐰴1") (letter "Ha / Ga" in Göktürkish) (pronounced as "large helix") is defined as ω-th iterated integral of √((2π*ω)^2 + ω^2). The value of 𐰚 is (ω^ω)√(1+2π)/ω! ≈ exp(ω)/10. Ordinal 𐰚 was coined by Mert Erdoğdu.https://online.flippingbook.com/view/670059321/
==Properties==
it is nonstandart to ordinals to have noninteger coefficientsin fast growing hierarchy f𐰚(x) is not well-defined due to the transcendental nature of the ordinal 𐰴.in fast growing hierarchy f𐰚(x) dominates f2^ω(x) and gets dominated by fω^ω(x).
in slow growing hierarchy s𐰴(x) = (x^x)√(1+2π)/x! ≈ exp(x)/10
==Sources==
Category:Transfinite ordinals
Category:Transcendental numbers