diff --git a/pandas/io/formats/style.py b/pandas/io/formats/style.py
index 432e12f303919..f97f558fd0e0b 100644
--- a/pandas/io/formats/style.py
+++ b/pandas/io/formats/style.py
@@ -1659,7 +1659,6 @@ def _apply_index(
         alt="applymap",
         altwise="elementwise",
         func="take a Series and return a string array of the same length",
-        axis='{0, 1, "index", "columns"}',
         input_note="the index as a Series, if an Index, or a level of a MultiIndex",
         output_note="an identically sized array of CSS styles as strings",
         var="s",
@@ -1684,7 +1683,7 @@ def apply_index(
         ----------
         func : function
             ``func`` should {func}.
-        axis : {axis}
+        axis : {{0, 1, "index", "columns"}}
             The headers over which to apply the function.
         level : int, str, list, optional
             If index is MultiIndex the level(s) over which to apply the function.
@@ -1745,7 +1744,6 @@ def apply_index(
         alt="apply",
         altwise="level-wise",
         func="take a scalar and return a string",
-        axis='{0, 1, "index", "columns"}',
         input_note="an index value, if an Index, or a level value of a MultiIndex",
         output_note="CSS styles as a string",
         var="v",
@@ -2754,7 +2752,6 @@ def hide(
         name="background",
         alt="text",
         image_prefix="bg",
-        axis="{0 or 'index', 1 or 'columns', None}",
         text_threshold="",
     )
     @Substitution(subset=subset)
@@ -2789,7 +2786,7 @@ def background_gradient(
             Compress the color range at the high end. This is a multiple of the data
             range to extend above the maximum; good values usually in [0, 1],
             defaults to 0.
-        axis : {axis}, default 0
+        axis : {{0, 1, "index", "columns", None}}, default 0
             Apply to each column (``axis=0`` or ``'index'``), to each row
             (``axis=1`` or ``'columns'``), or to the entire DataFrame at once
             with ``axis=None``.
@@ -2915,7 +2912,6 @@ def background_gradient(
         name="text",
         alt="background",
         image_prefix="tg",
-        axis="{0 or 'index', 1 or 'columns', None}",
         text_threshold="This argument is ignored (only used in `background_gradient`).",
     )
     def text_gradient(