Erdogdu ordinal

The Erdoğdu ordinal "𐰢" (sometimes written as "𐰴2") (letter "M" in Göktürkish) (pronounced as "Erdoghdu") is defined as ε0-th iterated integral of √((2π*ω)^2 + ω^2). The value of 𐰢 is (ω^ε0)√(1+2π)/ε0! ≈ exp(ε0)/10, Erdoğdu ordinal 𐰢 was coined by Mert Erdoğdu.https://online.flippingbook.com/view/670059321/
==Properties==
 it is nonstandart to ordinals to have noninteger coefficients 
 in fast growing hierarchy f𐰢(x) is not well-defined due to the transcendental nature of the ordinal 𐰢. 
 in fast growing hierarchy f𐰢(x) dominates fε0^2(x) and gets dominated by fε0^ω(x). 
 in slow growing hierarchy s𐰢(x) = (x^(x^^x))√(1+2π)/(x^^x)!≈ 2.7^^(x-2). 
==Sources==
Category:Transfinite ordinals
Category:Transcendental numbers