Two meromorphic functions

$f$ and

$g$ are said to share a value

$a$ if they have the same

$a-$points. A classical result of Nevanlinna says that if

$f$ and

$g$ share five values, then

$f=g\xb7$ Here it is shown that if

$f$ has finite lower order and if

$f$ or some derivative of

$f$ has a deficient value, then it suffices to assume that

$f$ and

$g$ share five values outside certain sectors in order to conclude that

$f=g\xb7$ The size and configuration of these sectors depend on the lower order of

$f$ and on the deficiency. Such a result does not hold if

$f$ has infinite (lower) order, but for this case a similar result is given where

$f$ and

$g$ share five values outside certain rays. The proofs use, among other things, Nevanlinna theory in angular domains.