Growth order of a meromorphic function
= Growth order of a meromorphic function
{title2=$\rho(f)=\limsup\log^+T_f(r)/\log r$}
The growth order of a <meromorphic function> is the upper power exponent of its <Nevanlinna characteristic>, with constants assigned order zero. It is different from the local signed order at a zero or <pole>. A <Nevanlinna integrated counting function> has an analogous growth order. The <Nevanlinna first main theorem> bounds every counting order by the function order.