diff --git a/pandas/core/series.py b/pandas/core/series.py
index eb412add7bbbb..0c8e697c572e8 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -2992,11 +2992,13 @@ def argsort(self, axis=0, kind='quicksort', order=None):
 
         Parameters
         ----------
-        axis : int (can only be zero)
+        axis : int
+            Has no effect but is accepted for compatibility with numpy.
         kind : {'mergesort', 'quicksort', 'heapsort'}, default 'quicksort'
             Choice of sorting algorithm. See np.sort for more
             information. 'mergesort' is the only stable algorithm
-        order : ignored
+        order : None
+            Has no effect but is accepted for compatibility with numpy.
 
         Returns
         -------