You can use this function:
// get users with specified roles
function getUsersWithRole( $roles ) {
global $wpdb;
if ( ! is_array( $roles ) )
$roles = array_walk( explode( ",", $roles ), 'trim' );
$sql="
SELECT ID, display_name
FROM " . $wpdb->users . ' INNER JOIN ' . $wpdb->usermeta . '
ON ' . $wpdb->users . '.ID = ' . $wpdb->usermeta . '.user_id
WHERE ' . $wpdb->usermeta . '.meta_key = \'' . $wpdb->prefix . 'capabilities\'
AND (
';
$i = 1;
foreach ( $roles as $role ) {
$sql .= ' ' . $wpdb->usermeta . '.meta_value LIKE \'%"' . $role . '"%\' ';
if ( $i < count( $roles ) ) $sql .= ' OR ';
$i++;
}
$sql .= ' ) ';
$sql .= ' ORDER BY display_name ';
$userIDs = $wpdb->get_col( $sql );
return $userIDs;
}