Omega function: Difference between revisions

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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 $n\,\!$ .

This disambiguation page lists mathematics articles associated with the same title.
If an internal link led you here, you may wish to change the link to point directly to the intended article.

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 * The [[prime omega function]] <math>\Omega(n)\,\!</math>, giving the total number of prime factors of <math>n\,\!</math>, counting them with their multiplicity.
 * The [[Lambert W function]] <math>\Omega(x)\,\!</math>, the inverse of <math>y = x\cdot e^{x} \,\!</math>, also denoted <math>W(x)\,\!</math>.
-*[[Absolute Infinite|Absolute Infinity]]
+* [[Absolute infinite|Absolute infinity]]
 <math>\omega</math> (omega) may refer to:
-* The [[Wright Omega Function]] <math>\omega(x)\,\!</math>, related to the Lambert W Function
+* The [[Wright omega function]] <math>\omega(x)\,\!</math>, related to the Lambert W Function
 * The [[Pearson–Cunningham function]] <math>\omega_{m,n}(x)</math>
 * The [[prime omega function]] <math>\omega(n)\,\!</math>, giving the number of distinct prime factors of <math>n\,\!</math>.