diff --git a/doc/transform_iterator_ref.rst b/doc/transform_iterator_ref.rst
index 2e31a20..7ed7073 100644
--- a/doc/transform_iterator_ref.rst
+++ b/doc/transform_iterator_ref.rst
@@ -130,13 +130,16 @@ operations.
 
 ::
 
-    template<class OtherIterator, class R2, class V2>
+    template<class F2, class I2, class R2, class V2>
     transform_iterator(
-          transform_iterator<UnaryFunction, OtherIterator, R2, V2> const& t
-        , typename enable_if_convertible<OtherIterator, Iterator>::type* = 0 // exposition
+          transform_iterator<F2, I2, R2, V2> const& t
+        , typename enable_if_convertible<I2, Iterator>::type* = 0      // exposition only
+        , typename enable_if_convertible<F2, UnaryFunction>::type* = 0 // exposition only
     );
 
-:Returns: An instance of ``transform_iterator`` that is a copy of ``t``.
+:Returns: An instance of ``transform_iterator`` with ``m_f``
+initialized to ``t.functor()`` and ``m_iterator`` initialized to
+``t.base()``.
 :Requires: ``OtherIterator`` is implicitly convertible to ``Iterator``.