diff --git a/autoapi/domains/python.py b/autoapi/domains/python.py
index 33b4620..dc6ac59 100644
--- a/autoapi/domains/python.py
+++ b/autoapi/domains/python.py
@@ -82,6 +82,27 @@ class PythonBase(PythonMapperBase):
         # For later
         self.item_map = defaultdict(list)
 
+    @property
+    def undoc_member(self):
+        return self.docstring == ''
+
+    @property
+    def private_member(self):
+        return self.name[0] == '_'
+
+    @property
+    def special_member(self):
+        return self.name[0:1] == ['_', '_']
+
+    def display(self, options):
+        if self.undoc_member and 'undoc-members' not in options:
+            return False
+        if self.private_member and 'private-members' not in options:
+            return False
+        if self.special_member and 'special-members' not in options:
+            return False
+        return True
+
 
 class PythonFunction(PythonBase):
     type = 'function'
diff --git a/autoapi/templates/python/function.rst b/autoapi/templates/python/function.rst
index eed6ddc..aa9bc7d 100644
--- a/autoapi/templates/python/function.rst
+++ b/autoapi/templates/python/function.rst
@@ -1,3 +1,5 @@
+{%- if obj.display(options) %}
+
 {%- if is_method %}
 {# Slice self off #}
 .. method:: {{ obj.name.split('.')[-1] }}({{ args[1:]|join(',') }})
@@ -8,3 +10,5 @@
    {%- if obj.docstring %}
    {{ obj.docstring.strip()|indent(3) }}
    {% endif %}
+
+{% endif %}
\ No newline at end of file