diff --git a/doc/mp11/tuple.adoc b/doc/mp11/tuple.adoc
index b89a73b..4b190f8 100644
--- a/doc/mp11/tuple.adoc
+++ b/doc/mp11/tuple.adoc
@@ -42,9 +42,15 @@ Returns `std::forward<F>(f)`.
     template<class F, class... Tp> constexpr /*...*/ tuple_transform(F const& f, Tp&&... tp);
 
 `tuple_transform(f, tp...)` accepts a function object `f` followed by one or more tuples of equal length
-(`std::pair` is also accepted). The callable `f` must accept as many arguments as there are tuples. The
-function object is called with the first elements of each tuple, then with the second element of each tuple,
-and so on, by evaluating the expression `f(std::get<J>(std::forward<Tp>(tp))...)` for `J` in 0..`N-1`, where
-`N` is the length of the tuples. The results are returned as a `std::tuple<T...>` with `T...` deduced from the
-return values of `f`. The order in which the elements of the tuples are processed is unspecified. Calling `f`
-should not have side effects.
+(`std::tuple`, `std::pair` and `std::array` are considered tuples.)
+
+The callable `f` must accept as many arguments as there are tuples. The function object is called with the
+first elements of each tuple, then with the second element of each tuple, and so on, as if by evaluating
+the expression `f(std::get<J>(std::forward<Tp>(tp))...)` for `J` in 0..`N-1`, where `N` is the length of
+the tuples.
+
+The results are returned as a `std::tuple<T...>` with `T...` deduced from the return values of `f` (lvalue
+references are preserved, rvalue references are returned by value.)
+
+The order in which the elements of the tuples are processed is unspecified. Calling `f` should not have
+side effects.
diff --git a/test/Jamfile b/test/Jamfile
index 15fef4c..663d3e5 100644
--- a/test/Jamfile
+++ b/test/Jamfile
@@ -157,6 +157,7 @@ compile tuple_apply_cx.cpp ;
 run construct_from_tuple.cpp ;
 compile construct_from_tuple_cx.cpp ;
 run tuple_transform.cpp ;
+run tuple_transform_2.cpp ;
 compile tuple_transform_cx.cpp ;
 
 # set
diff --git a/test/tuple_transform_2.cpp b/test/tuple_transform_2.cpp
new file mode 100644
index 0000000..a8c04e8
--- /dev/null
+++ b/test/tuple_transform_2.cpp
@@ -0,0 +1,162 @@
+// Copyright 2020 Peter Dimov
+// Distributed under the Boost Software License, Version 1.0.
+// https://www.boost.org/LICENSE_1_0.txt
+
+#include <boost/mp11/tuple.hpp>
+#include <boost/mp11/algorithm.hpp>
+#include <boost/core/lightweight_test.hpp>
+#include <tuple>
+#include <utility>
+#include <array>
+#include <cstddef>
+
+int f( int x )
+{
+    return x + 1;
+}
+
+int g( int x, int y )
+{
+    return x + y;
+}
+
+int h( int x, int y, int z )
+{
+    return x + y + z;
+}
+
+int q( int x, int y, int z, int v )
+{
+    return x + y + z + v;
+}
+
+template<class T1, class... T> std::array<T1, 1 + sizeof...(T)> make_array( T1 t1, T... t )
+{
+    return { { t1, t... } };
+}
+
+template<class Tp> struct test_element
+{
+    Tp& tp;
+
+    template<int I> void operator()( boost::mp11::mp_int<I> ) const
+    {
+        BOOST_TEST_EQ( std::get<I>( tp ), q( I, I, I, I ) );
+    }
+};
+
+int main()
+{
+    using boost::mp11::tuple_transform;
+
+    //
+
+    {
+        std::tuple<int> r = tuple_transform( f, std::make_tuple( 1 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 2 );
+    }
+
+    {
+        std::tuple<int> r = tuple_transform( f, ::make_array( 1 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 2 );
+    }
+
+    {
+        std::tuple<int> r = tuple_transform( g, ::make_array( 1 ), std::make_tuple( 2 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 3 );
+    }
+
+    {
+        std::tuple<int> r = tuple_transform( h, ::make_array( 1 ), std::make_tuple( 2 ), ::make_array( 3 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 6 );
+    }
+
+    //
+
+    {
+        std::tuple<int, int> r = tuple_transform( f, std::make_tuple( 1, 2 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 2 );
+        BOOST_TEST_EQ( std::get<1>( r ), 3 );
+    }
+
+    {
+        std::tuple<int, int> r = tuple_transform( f, std::make_pair( 1, 2 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 2 );
+        BOOST_TEST_EQ( std::get<1>( r ), 3 );
+    }
+
+    {
+        std::tuple<int, int> r = tuple_transform( f, ::make_array( 1, 2 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 2 );
+        BOOST_TEST_EQ( std::get<1>( r ), 3 );
+    }
+
+    {
+        std::tuple<int, int> r = tuple_transform( g, ::make_array( 1, 2 ), std::make_pair( 3, 4 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 4 );
+        BOOST_TEST_EQ( std::get<1>( r ), 6 );
+    }
+
+    {
+        std::tuple<int, int> r = tuple_transform( h, ::make_array( 1, 2 ), std::make_pair( 3, 4 ), std::make_tuple( 5, 6 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 9 );
+        BOOST_TEST_EQ( std::get<1>( r ), 12 );
+    }
+
+    //
+
+    {
+        std::tuple<int, int, int> r = tuple_transform( f, std::make_tuple( 1, 2, 3 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 2 );
+        BOOST_TEST_EQ( std::get<1>( r ), 3 );
+        BOOST_TEST_EQ( std::get<2>( r ), 4 );
+    }
+
+    {
+        std::tuple<int, int, int> r = tuple_transform( f, ::make_array( 1, 2, 3 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 2 );
+        BOOST_TEST_EQ( std::get<1>( r ), 3 );
+        BOOST_TEST_EQ( std::get<2>( r ), 4 );
+    }
+
+    {
+        std::tuple<int, int, int> r = tuple_transform( g, ::make_array( 1, 2, 3 ), std::make_tuple( 4, 5, 6 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 5 );
+        BOOST_TEST_EQ( std::get<1>( r ), 7 );
+        BOOST_TEST_EQ( std::get<2>( r ), 9 );
+    }
+
+    {
+        std::tuple<int, int, int> r = tuple_transform( h, ::make_array( 1, 2, 3 ), std::make_tuple( 4, 5, 6 ), ::make_array( 7, 8, 9 ) );
+
+        BOOST_TEST_EQ( std::get<0>( r ), 12 );
+        BOOST_TEST_EQ( std::get<1>( r ), 15 );
+        BOOST_TEST_EQ( std::get<2>( r ), 18 );
+    }
+
+    {
+        using namespace boost::mp11;
+
+        int const N = 64;
+
+        using Tp = mp_rename<mp_iota< mp_int<N> >, std::tuple>;
+
+        auto const r = tuple_transform( q, Tp(), Tp(), Tp(), Tp() );
+
+        mp_for_each<Tp>( test_element<decltype(r)>{ r } );
+    }
+
+    return boost::report_errors();
+}