diff --git a/include/pybind11/cast.h b/include/pybind11/cast.h
index 8a4e2e6476..d31cdfb029 100644
--- a/include/pybind11/cast.h
+++ b/include/pybind11/cast.h
@@ -882,6 +882,10 @@ struct handle_type_name<bytes> {
     static constexpr auto name = const_name(PYBIND11_BYTES_NAME);
 };
 template <>
+struct handle_type_name<buffer> {
+    static constexpr auto name = const_name("Buffer");
+};
+template <>
 struct handle_type_name<int_> {
     static constexpr auto name = const_name("int");
 };
@@ -902,10 +906,18 @@ struct handle_type_name<function> {
     static constexpr auto name = const_name("Callable");
 };
 template <>
+struct handle_type_name<handle> {
+    static constexpr auto name = handle_type_name<object>::name;
+};
+template <>
 struct handle_type_name<none> {
     static constexpr auto name = const_name("None");
 };
 template <>
+struct handle_type_name<sequence> {
+    static constexpr auto name = const_name("Sequence");
+};
+template <>
 struct handle_type_name<args> {
     static constexpr auto name = const_name("*args");
 };
diff --git a/tests/test_buffers.py b/tests/test_buffers.py
index 63d9d869fd..5d33625ba4 100644
--- a/tests/test_buffers.py
+++ b/tests/test_buffers.py
@@ -219,3 +219,10 @@ def test_ctypes_from_buffer():
         assert cinfo.shape == pyinfo.shape
         assert cinfo.strides == pyinfo.strides
         assert not cinfo.readonly
+
+
+def test_buffer_docstring():
+    assert (
+        m.get_buffer_info.__doc__.strip()
+        == "get_buffer_info(arg0: Buffer) -> pybind11_tests.buffers.buffer_info"
+    )
diff --git a/tests/test_factory_constructors.py b/tests/test_factory_constructors.py
index 04df80260d..a9004cbf67 100644
--- a/tests/test_factory_constructors.py
+++ b/tests/test_factory_constructors.py
@@ -77,7 +77,7 @@ def test_init_factory_signature(msg):
             1. m.factory_constructors.TestFactory1(arg0: m.factory_constructors.tag.unique_ptr_tag, arg1: int)
             2. m.factory_constructors.TestFactory1(arg0: str)
             3. m.factory_constructors.TestFactory1(arg0: m.factory_constructors.tag.pointer_tag)
-            4. m.factory_constructors.TestFactory1(arg0: handle, arg1: int, arg2: handle)
+            4. m.factory_constructors.TestFactory1(arg0: object, arg1: int, arg2: object)
 
         Invoked with: 'invalid', 'constructor', 'arguments'
     """
@@ -95,7 +95,7 @@ def test_init_factory_signature(msg):
 
         3. __init__(self: m.factory_constructors.TestFactory1, arg0: m.factory_constructors.tag.pointer_tag) -> None
 
-        4. __init__(self: m.factory_constructors.TestFactory1, arg0: handle, arg1: int, arg2: handle) -> None
+        4. __init__(self: m.factory_constructors.TestFactory1, arg0: object, arg1: int, arg2: object) -> None
     """
     )
 
diff --git a/tests/test_sequences_and_iterators.py b/tests/test_sequences_and_iterators.py
index dc129f2bff..acbe9d8983 100644
--- a/tests/test_sequences_and_iterators.py
+++ b/tests/test_sequences_and_iterators.py
@@ -171,6 +171,10 @@ def __len__(self):
     assert m.sequence_length("hello") == 5
 
 
+def test_sequence_doc():
+    assert m.sequence_length.__doc__.strip() == "sequence_length(arg0: Sequence) -> int"
+
+
 def test_map_iterator():
     sm = m.StringMap({"hi": "bye", "black": "white"})
     assert sm["hi"] == "bye"