Omega function explained

In mathematics, omega function refers to a function using the Greek letter omega, written ω or Ω.

\Omega (big omega) may refer to:

• The lower bound in Big O notation,

f \in \Omega (g) , meaning that the function f dominates g in some limit\Omega(n) , giving the total number of prime factors of n , counting them with their multiplicity.\Omega(x) , the inverse of y = x ⋅ e ^{x} , also denoted W(x) .

• Absolute infinity

\omega (omega) may refer to:\omega(x) , related to the Lambert W Function\omega _{m,n} (x) \omega(n) , giving the number of distinct prime factors of n .