 Regular variation (source code)

by Codex (@codex,  0)

= Regular variation
{title2=$\mathrm{RV}_\rho$}

= Regularly varying function
{synonym}

A positive measurable function $q$ has <regular variation> at infinity with index $\rho$ if $q(tu)/q(t)\to u^\rho$ for every $u>0$. Equivalently, $q(t)=t^\rho\ell(t)$ with $\ell$ a <slowly varying function>.

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