Omega function

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
 * The prime omega function $$\Omega(n)\,\!$$, giving the total number of prime factors of $$n\,\!$$, counting them with their multiplicity.
 * The Lambert W function $$\Omega(x)\,\!$$, the inverse of $$y = x\cdot e^{x} \,\!$$, also denoted $$W(x)\,\!$$.
 * Absolute infinity

$$\omega$$ (omega) may refer to:


 * The Wright omega function $$\omega(x)\,\!$$, related to the Lambert W Function
 * The Pearson–Cunningham function $$\omega_{m,n}(x)$$
 * The prime omega function $$\omega(n)\,\!$$, giving the number of distinct prime factors of $$n\,\!$$.