diff --git a/ci/code_checks.sh b/ci/code_checks.sh
index 8f6c5e0beee0b..7ffd2b72cb08d 100755
--- a/ci/code_checks.sh
+++ b/ci/code_checks.sh
@@ -88,8 +88,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         -i "pandas.DataFrame.var PR01,RT03,SA01" \
         -i "pandas.Grouper PR02" \
         -i "pandas.Index PR07" \
-        -i "pandas.Index.append PR07,RT03,SA01" \
-        -i "pandas.Index.difference PR07,RT03,SA01" \
         -i "pandas.Index.get_indexer PR07,SA01" \
         -i "pandas.Index.get_indexer_for PR01,SA01" \
         -i "pandas.Index.get_indexer_non_unique PR07,SA01" \
diff --git a/pandas/core/indexes/base.py b/pandas/core/indexes/base.py
index c83dd3be13424..101fddb796e7a 100644
--- a/pandas/core/indexes/base.py
+++ b/pandas/core/indexes/base.py
@@ -3261,6 +3261,8 @@ def difference(self, other, sort=None):
         Parameters
         ----------
         other : Index or array-like
+            Index object or an array-like object containing elements to be compared
+            with the elements of the original Index.
         sort : bool or None, default None
             Whether to sort the resulting index. By default, the
             values are attempted to be sorted, but any TypeError from
@@ -3274,6 +3276,14 @@ def difference(self, other, sort=None):
         Returns
         -------
         Index
+            Returns a new Index object containing elements that are in the original
+            Index but not in the `other` Index.
+
+        See Also
+        --------
+        Index.symmetric_difference : Compute the symmetric difference of two Index
+            objects.
+        Index.intersection : Form the intersection of two Index objects.
 
         Examples
         --------
@@ -5156,10 +5166,18 @@ def append(self, other: Index | Sequence[Index]) -> Index:
         Parameters
         ----------
         other : Index or list/tuple of indices
+            Single Index or a collection of indices, which can be either a list or a
+            tuple.
 
         Returns
         -------
         Index
+            Returns a new Index object resulting from appending the provided other
+            indices to the original Index.
+
+        See Also
+        --------
+        Index.insert : Make new Index inserting new item at location.
 
         Examples
         --------