it seems that you have an array (key-value)
in this type of arrays we have a key, and its not possible to have a cell without any key.
so as you mentioned in your question, the cell which seem that has not any key, already has the ''(empty string) key. i mean its definition has been like this
$array['']=2;
so you can simply unset it as normal. like this
unset( $array['']);
because if you define a cell as bellow:
$array[]=2;
automatically it gives the first available numerical key.
for example if you have:
$array[4]=5;
$array[]=6;
it automatically gives the next free index , it means to php like this:
$array[4]=5;
$array[5]=6;
i hope it can help you.