diff --git a/pandas-stubs/_libs/tslibs/timestamps.pyi b/pandas-stubs/_libs/tslibs/timestamps.pyi
index 250158c2d..2b7e9a299 100644
--- a/pandas-stubs/_libs/tslibs/timestamps.pyi
+++ b/pandas-stubs/_libs/tslibs/timestamps.pyi
@@ -100,7 +100,7 @@ class Timestamp(datetime, SupportsIndex):
     def fold(self) -> int: ...
     if sys.version_info >= (3, 12):
         @classmethod
-        def fromtimestamp(  # pyright: ignore[reportIncompatibleMethodOverride]
+        def fromtimestamp(  # pyright: ignore[reportIncompatibleMethodOverride] # ty: ignore[invalid-method-override]
             cls, t: float, tz: _tzinfo | str | None = ...
         ) -> Self: ...
     else:
diff --git a/pandas-stubs/_typing.pyi b/pandas-stubs/_typing.pyi
index f7dcd1cfc..a6644eac1 100644
--- a/pandas-stubs/_typing.pyi
+++ b/pandas-stubs/_typing.pyi
@@ -22,7 +22,6 @@ from typing import (
     SupportsIndex,
     TypeAlias,
     TypedDict,
-    Union,
     overload,
 )
 
@@ -596,18 +595,25 @@ IndexKeyFunc: TypeAlias = Callable[[Index], Index | AnyArrayLike] | None
 
 # types of `func` kwarg for DataFrame.aggregate and Series.aggregate
 # More specific than what is in pandas
-# following Union is here to make it ty compliant https://github.com/astral-sh/ty/issues/591
-AggFuncTypeBase: TypeAlias = Union[Callable, str, np.ufunc]  # noqa: UP007
-AggFuncTypeDictSeries: TypeAlias = Mapping[HashableT, AggFuncTypeBase]
+AggFuncTypeBase: TypeAlias = Callable[P, Any] | str | np.ufunc
+AggFuncTypeDictSeries: TypeAlias = Mapping[HashableT, AggFuncTypeBase[P]]
 AggFuncTypeDictFrame: TypeAlias = Mapping[
-    HashableT, AggFuncTypeBase | list[AggFuncTypeBase]
+    HashableT, AggFuncTypeBase[P] | Sequence[AggFuncTypeBase[P]]
 ]
-AggFuncTypeSeriesToFrame: TypeAlias = list[AggFuncTypeBase] | AggFuncTypeDictSeries
+AggFuncTypeSeriesToFrame: TypeAlias = (
+    Sequence[AggFuncTypeBase[P]] | AggFuncTypeDictSeries[HashableT, P]
+)
 AggFuncTypeFrame: TypeAlias = (
-    AggFuncTypeBase | list[AggFuncTypeBase] | AggFuncTypeDictFrame
+    AggFuncTypeBase[P]
+    | Sequence[AggFuncTypeBase[P]]
+    | AggFuncTypeDictFrame[HashableT, P]
+)
+AggFuncTypeDict: TypeAlias = (
+    AggFuncTypeDictSeries[HashableT, P] | AggFuncTypeDictFrame[HashableT, P]
+)
+AggFuncType: TypeAlias = (
+    AggFuncTypeBase[P] | Sequence[AggFuncTypeBase[P]] | AggFuncTypeDict[HashableT, P]
 )
-AggFuncTypeDict: TypeAlias = AggFuncTypeDictSeries | AggFuncTypeDictFrame
-AggFuncType: TypeAlias = AggFuncTypeBase | list[AggFuncTypeBase] | AggFuncTypeDict
 
 # Not used in stubs
 # AggObjType = Union[
@@ -694,7 +700,9 @@ CompressionOptions: TypeAlias = (
 
 # types in DataFrameFormatter
 FormattersType: TypeAlias = (
-    list[Callable] | tuple[Callable, ...] | Mapping[str | int, Callable]
+    list[Callable[..., Any]]
+    | tuple[Callable[..., Any], ...]
+    | Mapping[str | int, Callable[..., Any]]
 )
 # ColspaceType = Mapping[Hashable, Union[str, int]] not used in stubs
 FloatFormatType: TypeAlias = str | Callable[[float], str] | EngFormatter
diff --git a/pandas-stubs/core/frame.pyi b/pandas-stubs/core/frame.pyi
index 69345fa6e..b77d27224 100644
--- a/pandas-stubs/core/frame.pyi
+++ b/pandas-stubs/core/frame.pyi
@@ -273,8 +273,8 @@ class _LocIndexerFrame(_LocIndexer, Generic[_T]):
                 | list[HashableT]
                 | slice
                 | _IndexSliceTuple
-                | Callable,
-                MaskType | Iterable[HashableT] | IndexType | Callable,
+                | Callable[..., Any],
+                MaskType | Iterable[HashableT] | IndexType | Callable[..., Any],
             ]
         ),
     ) -> _T: ...
@@ -1268,7 +1268,7 @@ class DataFrame(NDFrame, OpsMixin, _GetItemHack):
     def combine(
         self,
         other: DataFrame,
-        func: Callable,
+        func: Callable[..., Any],
         fill_value: Scalar | None = None,
         overwrite: _bool = True,
     ) -> Self: ...
@@ -1278,7 +1278,7 @@ class DataFrame(NDFrame, OpsMixin, _GetItemHack):
         other: DataFrame | Series,
         join: UpdateJoin = "left",
         overwrite: _bool = True,
-        filter_func: Callable | None = ...,
+        filter_func: Callable[..., Any] | None = ...,
         errors: IgnoreRaise = "ignore",
     ) -> None: ...
     @overload
@@ -1516,21 +1516,21 @@ class DataFrame(NDFrame, OpsMixin, _GetItemHack):
     @overload
     def aggregate(  # pyright: ignore[reportOverlappingOverload]
         self,
-        func: AggFuncTypeBase | AggFuncTypeDictSeries,
+        func: AggFuncTypeBase[...] | AggFuncTypeDictSeries[Any, ...],
         axis: Axis = 0,
         **kwargs: Any,
     ) -> Series: ...
     @overload
     def aggregate(
         self,
-        func: list[AggFuncTypeBase] | AggFuncTypeDictFrame | None = ...,
+        func: list[AggFuncTypeBase[...]] | AggFuncTypeDictFrame[Any, ...] | None = ...,
         axis: Axis = 0,
         **kwargs: Any,
     ) -> Self: ...
     agg = aggregate
     def transform(
         self,
-        func: AggFuncTypeFrame,
+        func: AggFuncTypeFrame[..., Any],
         axis: Axis = 0,
         *args: Any,
         **kwargs: Any,
@@ -1684,7 +1684,10 @@ class DataFrame(NDFrame, OpsMixin, _GetItemHack):
 
     # Add spacing between apply() overloads and remaining annotations
     def map(
-        self, func: Callable, na_action: Literal["ignore"] | None = None, **kwargs: Any
+        self,
+        func: Callable[..., Any],
+        na_action: Literal["ignore"] | None = None,
+        **kwargs: Any,
     ) -> Self: ...
     def join(
         self,
@@ -2332,7 +2335,7 @@ class DataFrame(NDFrame, OpsMixin, _GetItemHack):
             | Callable[[DataFrame], DataFrame]
             | Callable[[Any], _bool]
         ),
-        other: Scalar | Series | DataFrame | Callable | NAType | None = ...,
+        other: Scalar | Series | DataFrame | Callable[..., Any] | NAType | None = ...,
         *,
         inplace: Literal[True],
         axis: Axis | None = ...,
@@ -2349,7 +2352,7 @@ class DataFrame(NDFrame, OpsMixin, _GetItemHack):
             | Callable[[DataFrame], DataFrame]
             | Callable[[Any], _bool]
         ),
-        other: Scalar | Series | DataFrame | Callable | NAType | None = ...,
+        other: Scalar | Series | DataFrame | Callable[..., Any] | NAType | None = ...,
         *,
         inplace: Literal[False] = False,
         axis: Axis | None = ...,
@@ -2510,8 +2513,12 @@ class DataFrame(NDFrame, OpsMixin, _GetItemHack):
     def rename_axis(
         self,
         *,
-        index: _str | Sequence[_str] | dict[_str | int, _str] | Callable | None = ...,
-        columns: _str | Sequence[_str] | dict[_str | int, _str] | Callable | None = ...,
+        index: (
+            _str | Sequence[_str] | dict[_str | int, _str] | Callable[..., Any] | None
+        ) = ...,
+        columns: (
+            _str | Sequence[_str] | dict[_str | int, _str] | Callable[..., Any] | None
+        ) = ...,
         copy: _bool = ...,
         inplace: Literal[True],
     ) -> None: ...
@@ -2520,8 +2527,12 @@ class DataFrame(NDFrame, OpsMixin, _GetItemHack):
     def rename_axis(
         self,
         *,
-        index: _str | Sequence[_str] | dict[_str | int, _str] | Callable | None = ...,
-        columns: _str | Sequence[_str] | dict[_str | int, _str] | Callable | None = ...,
+        index: (
+            _str | Sequence[_str] | dict[_str | int, _str] | Callable[..., Any] | None
+        ) = ...,
+        columns: (
+            _str | Sequence[_str] | dict[_str | int, _str] | Callable[..., Any] | None
+        ) = ...,
         copy: _bool = ...,
         inplace: Literal[False] = False,
     ) -> Self: ...
diff --git a/pandas-stubs/core/groupby/generic.pyi b/pandas-stubs/core/groupby/generic.pyi
index ac06e7311..52ee1c026 100644
--- a/pandas-stubs/core/groupby/generic.pyi
+++ b/pandas-stubs/core/groupby/generic.pyi
@@ -78,7 +78,7 @@ class SeriesGroupBy(GroupBy[Series[S2]], Generic[S2, ByT]):
     @overload
     def aggregate(
         self,
-        func: list[AggFuncTypeBase],
+        func: list[AggFuncTypeBase[...]],
         /,
         *args: Any,
         engine: WindowingEngine = ...,
@@ -88,7 +88,7 @@ class SeriesGroupBy(GroupBy[Series[S2]], Generic[S2, ByT]):
     @overload
     def aggregate(
         self,
-        func: AggFuncTypeBase | None = ...,
+        func: AggFuncTypeBase[...] | None = ...,
         /,
         *args: Any,
         engine: WindowingEngine = ...,
@@ -109,16 +109,20 @@ class SeriesGroupBy(GroupBy[Series[S2]], Generic[S2, ByT]):
     @overload
     def transform(
         self,
-        func: Callable,
-        *args: Any,
-        **kwargs: Any,
+        func: Callable[Concatenate[Series, P], Any],
+        *args: P.args,
+        **kwargs: P.kwargs,
     ) -> Series: ...
     @overload
     def transform(
         self, func: TransformReductionListType, *args: Any, **kwargs: Any
     ) -> Series: ...
     def filter(
-        self, func: Callable | str, dropna: bool = ..., *args: Any, **kwargs: Any
+        self,
+        func: Callable[Concatenate[Series, P], Any] | str,
+        dropna: bool = ...,
+        *args: P.args,
+        **kwargs: P.kwargs,
     ) -> Series: ...
     def nunique(self, dropna: bool = ...) -> Series[int]: ...
     # describe delegates to super() method but here it has keyword-only parameters
@@ -257,7 +261,7 @@ class DataFrameGroupBy(GroupBy[DataFrame], Generic[ByT, _TT]):
     @overload
     def aggregate(
         self,
-        func: AggFuncTypeFrame | None = ...,
+        func: AggFuncTypeFrame[..., Any] | None = ...,
         *args: Any,
         engine: WindowingEngine = ...,
         engine_kwargs: WindowingEngineKwargs = ...,
@@ -266,7 +270,7 @@ class DataFrameGroupBy(GroupBy[DataFrame], Generic[ByT, _TT]):
     @overload
     def aggregate(
         self,
-        func: AggFuncTypeFrame | None = None,
+        func: AggFuncTypeFrame[..., Any] | None = None,
         /,
         **kwargs: Any,
     ) -> DataFrame: ...
@@ -283,16 +287,20 @@ class DataFrameGroupBy(GroupBy[DataFrame], Generic[ByT, _TT]):
     @overload
     def transform(
         self,
-        func: Callable,
-        *args: Any,
-        **kwargs: Any,
+        func: Callable[Concatenate[DataFrame, P], Any],
+        *args: P.args,
+        **kwargs: P.kwargs,
     ) -> DataFrame: ...
     @overload
     def transform(
         self, func: TransformReductionListType, *args: Any, **kwargs: Any
     ) -> DataFrame: ...
     def filter(
-        self, func: Callable, dropna: bool = ..., *args: Any, **kwargs: Any
+        self,
+        func: Callable[Concatenate[DataFrame, P], Any],
+        dropna: bool = ...,
+        *args: P.args,
+        **kwargs: P.kwargs,
     ) -> DataFrame: ...
     @overload
     def __getitem__(self, key: Scalar) -> SeriesGroupBy[Any, ByT]: ...  # type: ignore[overload-overlap] # pyright: ignore[reportOverlappingOverload]
diff --git a/pandas-stubs/core/groupby/groupby.pyi b/pandas-stubs/core/groupby/groupby.pyi
index b60864ada..242dcd38f 100644
--- a/pandas-stubs/core/groupby/groupby.pyi
+++ b/pandas-stubs/core/groupby/groupby.pyi
@@ -78,7 +78,12 @@ _ResamplerGroupBy: TypeAlias = (
 
 class GroupBy(BaseGroupBy[NDFrameT]):
     def __getattr__(self, attr: str) -> Any: ...
-    def apply(self, func: Callable | str, *args: Any, **kwargs: Any) -> NDFrameT: ...
+    def apply(
+        self,
+        func: Callable[Concatenate[NDFrameT, P], Any] | str,
+        *args: P.args,
+        **kwargs: P.kwargs,
+    ) -> NDFrameT: ...
     @final
     @overload
     def any(self: GroupBy[Series], skipna: bool = ...) -> Series[bool]: ...
diff --git a/pandas-stubs/core/indexes/base.pyi b/pandas-stubs/core/indexes/base.pyi
index 80b1cca4f..94c2846db 100644
--- a/pandas-stubs/core/indexes/base.pyi
+++ b/pandas-stubs/core/indexes/base.pyi
@@ -408,7 +408,10 @@ class Index(IndexOpsMixin[S1], ElementOpsMixin[S1]):
     ) -> Self: ...
     def copy(self, name: Hashable = ..., deep: bool = False) -> Self: ...
     def format(
-        self, name: bool = ..., formatter: Callable | None = ..., na_rep: _str = ...
+        self,
+        name: bool = ...,
+        formatter: Callable[..., Any] | None = ...,
+        na_rep: _str = ...,
     ) -> list[_str]: ...
     def to_series(
         self, index: Index | None = None, name: Hashable | None = None
diff --git a/pandas-stubs/core/indexes/multi.pyi b/pandas-stubs/core/indexes/multi.pyi
index dbb9b766e..7e44938b0 100644
--- a/pandas-stubs/core/indexes/multi.pyi
+++ b/pandas-stubs/core/indexes/multi.pyi
@@ -94,7 +94,7 @@ class MultiIndex(Index):
     def format(
         self,
         name: bool | None = ...,
-        formatter: Callable | None = ...,
+        formatter: Callable[..., Any] | None = ...,
         na_rep: str | None = ...,
         names: bool = ...,
         space: int = ...,
diff --git a/pandas-stubs/core/series.pyi b/pandas-stubs/core/series.pyi
index c732e3826..f24854920 100644
--- a/pandas-stubs/core/series.pyi
+++ b/pandas-stubs/core/series.pyi
@@ -309,7 +309,7 @@ class _LocIndexerSeries(_LocIndexer, Generic[S1]):
             | slice
             | _IndexSliceTuple
             | Sequence[_IndexSliceTuple]
-            | Callable
+            | Callable[..., Any]
         ),
         # _IndexSliceTuple is when having a tuple that includes a slice.  Could just
         # be s.loc[1, :], or s.loc[pd.IndexSlice[1, :]]
@@ -559,7 +559,7 @@ class Series(IndexOpsMixin[S1], ElementOpsMixin[S1], NDFrame):
     def __len__(self) -> int: ...
     @final
     def __array_ufunc__(
-        self, ufunc: Callable, method: _str, *inputs: Any, **kwargs: Any
+        self, ufunc: Callable[..., Any], method: _str, *inputs: Any, **kwargs: Any
     ) -> Any: ...
     def __array__(  # ty: ignore[invalid-method-override]
         self, dtype: _str | np.dtype = ..., copy: bool | None = ...
@@ -594,7 +594,7 @@ class Series(IndexOpsMixin[S1], ElementOpsMixin[S1], NDFrame):
             | slice
             | _IndexSliceTuple
             | Sequence[_IndexSliceTuple]
-            | Callable
+            | Callable[..., Any]
         ),
         # _IndexSliceTuple is when having a tuple that includes a slice.  Could just
         # be s.loc[1, :], or s.loc[pd.IndexSlice[1, :]]
@@ -1025,7 +1025,10 @@ class Series(IndexOpsMixin[S1], ElementOpsMixin[S1], NDFrame):
         result_names: Suffixes = ...,
     ) -> DataFrame: ...
     def combine(
-        self, other: Series[S1], func: Callable, fill_value: Scalar | None = ...
+        self,
+        other: Series[S1],
+        func: Callable[..., Any],
+        fill_value: Scalar | None = ...,
     ) -> Series[S1]: ...
     def combine_first(self, other: Series[S1]) -> Series[S1]: ...
     def update(self, other: Series[S1] | Sequence[S1] | Mapping[int, S1]) -> None: ...
@@ -1132,9 +1135,9 @@ class Series(IndexOpsMixin[S1], ElementOpsMixin[S1], NDFrame):
         **kwargs: Any,
     ) -> float: ...
     @overload
-    def aggregate(
+    def aggregate(  # pyright: ignore[reportOverlappingOverload]
         self,
-        func: AggFuncTypeBase,
+        func: AggFuncTypeBase[...],
         axis: AxisIndex = ...,
         *args: Any,
         **kwargs: Any,
@@ -1142,16 +1145,16 @@ class Series(IndexOpsMixin[S1], ElementOpsMixin[S1], NDFrame):
     @overload
     def aggregate(
         self,
-        func: AggFuncTypeSeriesToFrame = ...,
+        func: AggFuncTypeSeriesToFrame[..., Any] = ...,
         axis: AxisIndex = ...,
         *args: Any,
         **kwargs: Any,
     ) -> Series: ...
     agg = aggregate
     @overload
-    def transform(
+    def transform(  # pyright: ignore[reportOverlappingOverload]
         self,
-        func: AggFuncTypeBase,
+        func: AggFuncTypeBase[...],
         axis: AxisIndex = ...,
         *args: Any,
         **kwargs: Any,
@@ -1159,7 +1162,7 @@ class Series(IndexOpsMixin[S1], ElementOpsMixin[S1], NDFrame):
     @overload
     def transform(
         self,
-        func: list[AggFuncTypeBase] | AggFuncTypeDictFrame,
+        func: Sequence[AggFuncTypeBase[...]] | AggFuncTypeDictFrame[Hashable, ...],
         axis: AxisIndex = ...,
         *args: Any,
         **kwargs: Any,
@@ -1670,7 +1673,9 @@ class Series(IndexOpsMixin[S1], ElementOpsMixin[S1], NDFrame):
             | Callable[[Series[S1]], Series[bool]]
             | Callable[[S1], bool]
         ),
-        other: Scalar | Series[S1] | DataFrame | Callable | NAType | None = ...,
+        other: (
+            Scalar | Series[S1] | DataFrame | Callable[..., Any] | NAType | None
+        ) = ...,
         *,
         inplace: Literal[True],
         axis: AxisIndex | None = 0,
@@ -1686,7 +1691,9 @@ class Series(IndexOpsMixin[S1], ElementOpsMixin[S1], NDFrame):
             | Callable[[Series[S1]], Series[bool]]
             | Callable[[S1], bool]
         ),
-        other: Scalar | Series[S1] | DataFrame | Callable | NAType | None = ...,
+        other: (
+            Scalar | Series[S1] | DataFrame | Callable[..., Any] | NAType | None
+        ) = ...,
         *,
         inplace: Literal[False] = False,
         axis: AxisIndex | None = 0,
@@ -4631,7 +4638,7 @@ class Series(IndexOpsMixin[S1], ElementOpsMixin[S1], NDFrame):
     def rename_axis(
         self,
         *,
-        index: Scalar | ListLike | Callable | dict | None = ...,
+        index: Scalar | ListLike | Callable[..., Any] | dict | None = ...,
         copy: _bool = ...,
         inplace: Literal[True],
     ) -> None: ...
@@ -4640,7 +4647,7 @@ class Series(IndexOpsMixin[S1], ElementOpsMixin[S1], NDFrame):
     def rename_axis(
         self,
         *,
-        index: Scalar | ListLike | Callable | dict | None = ...,
+        index: Scalar | ListLike | Callable[..., Any] | dict | None = ...,
         copy: _bool = ...,
         inplace: Literal[False] = False,
     ) -> Self: ...
diff --git a/pandas-stubs/core/window/rolling.pyi b/pandas-stubs/core/window/rolling.pyi
index 8f9af36a3..457894b0f 100644
--- a/pandas-stubs/core/window/rolling.pyi
+++ b/pandas-stubs/core/window/rolling.pyi
@@ -46,20 +46,23 @@ class BaseWindow(SelectionMixin[NDFrameT]):
     def __getattr__(self, attr: str) -> Self: ...
     def __iter__(self) -> Iterator[NDFrameT]: ...
     @overload
-    def aggregate(
-        self: BaseWindow[Series], func: AggFuncTypeBase, *args: Any, **kwargs: Any
+    def aggregate(  # pyright: ignore[reportOverlappingOverload]
+        self: BaseWindow[Series],
+        func: AggFuncTypeBase[...],
+        *args: Any,
+        **kwargs: Any,
     ) -> Series: ...
     @overload
     def aggregate(
         self: BaseWindow[Series],
-        func: AggFuncTypeSeriesToFrame,
+        func: AggFuncTypeSeriesToFrame[..., Any],
         *args: Any,
         **kwargs: Any,
     ) -> DataFrame: ...
     @overload
     def aggregate(
         self: BaseWindow[DataFrame],
-        func: AggFuncTypeFrame,
+        func: AggFuncTypeFrame[..., Any],
         *args: Any,
         **kwargs: Any,
     ) -> DataFrame: ...
diff --git a/pandas-stubs/io/clipboards.pyi b/pandas-stubs/io/clipboards.pyi
index 7f57c2845..25a1ed180 100644
--- a/pandas-stubs/io/clipboards.pyi
+++ b/pandas-stubs/io/clipboards.pyi
@@ -59,7 +59,7 @@ def read_clipboard(
     ) = ...,
     infer_datetime_format: bool = ...,
     keep_date_col: bool = ...,
-    date_parser: Callable = ...,
+    date_parser: Callable[..., Any] = ...,
     dayfirst: bool = ...,
     cache_dates: bool = ...,
     iterator: Literal[True],
@@ -118,7 +118,7 @@ def read_clipboard(
     ) = ...,
     infer_datetime_format: bool = ...,
     keep_date_col: bool = ...,
-    date_parser: Callable = ...,
+    date_parser: Callable[..., Any] = ...,
     dayfirst: bool = ...,
     cache_dates: bool = ...,
     iterator: bool = ...,
@@ -177,7 +177,7 @@ def read_clipboard(
     ) = ...,
     infer_datetime_format: bool = ...,
     keep_date_col: bool = ...,
-    date_parser: Callable = ...,
+    date_parser: Callable[..., Any] = ...,
     dayfirst: bool = ...,
     cache_dates: bool = ...,
     iterator: Literal[False] = False,
diff --git a/pandas-stubs/io/excel/_base.pyi b/pandas-stubs/io/excel/_base.pyi
index fdd1a03c4..9e772560c 100644
--- a/pandas-stubs/io/excel/_base.pyi
+++ b/pandas-stubs/io/excel/_base.pyi
@@ -276,7 +276,7 @@ class ExcelFile:
             | Sequence[Sequence[str] | Sequence[int]]
             | dict[str, Sequence[int] | list[str]]
         ) = ...,
-        date_parser: Callable | None = ...,
+        date_parser: Callable[..., Any] | None = ...,
         thousands: str | None = ...,
         comment: str | None = ...,
         skipfooter: int = ...,
@@ -304,7 +304,7 @@ class ExcelFile:
             | Sequence[Sequence[str] | Sequence[int]]
             | dict[str, Sequence[int] | list[str]]
         ) = ...,
-        date_parser: Callable | None = ...,
+        date_parser: Callable[..., Any] | None = ...,
         thousands: str | None = ...,
         comment: str | None = ...,
         skipfooter: int = ...,
diff --git a/pandas-stubs/io/formats/style.pyi b/pandas-stubs/io/formats/style.pyi
index 29a461f8a..b79c708f0 100644
--- a/pandas-stubs/io/formats/style.pyi
+++ b/pandas-stubs/io/formats/style.pyi
@@ -5,6 +5,7 @@ from collections.abc import (
 )
 from typing import (
     Any,
+    Concatenate,
     Literal,
     Protocol,
     overload,
@@ -13,6 +14,7 @@ from typing import (
 from matplotlib.colors import Colormap
 from pandas.core.frame import DataFrame
 from pandas.core.series import Series
+from typing_extensions import Self
 
 from pandas._typing import (
     Axis,
@@ -24,6 +26,7 @@ from pandas._typing import (
     IndexLabel,
     IntervalClosedType,
     Level,
+    P,
     QuantileInterpolation,
     Scalar,
     StorageOptions,
@@ -390,7 +393,10 @@ class Styler(StylerRenderer):
     ) -> type[Styler]: ...
     def pipe(
         self,
-        func: Callable[..., T] | tuple[Callable[..., T], str],
-        *args: Any,
-        **kwargs: Any,
+        func: (
+            Callable[Concatenate[Self, P], T]
+            | tuple[Callable[Concatenate[Self, P], T], str]
+        ),
+        *args: P.args,
+        **kwargs: P.kwargs,
     ) -> T: ...
diff --git a/pyproject.toml b/pyproject.toml
index 787874d01..c1f47ae81 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -355,3 +355,5 @@ filterwarnings = [
 
 [tool.ty.rules]
 unresolved-import = "ignore"
+# TODO: report to ty
+invalid-type-arguments = "ignore"
diff --git a/tests/test_frame.py b/tests/test_frame.py
index 60e6292e6..4b56b8ae0 100644
--- a/tests/test_frame.py
+++ b/tests/test_frame.py
@@ -1882,7 +1882,7 @@ def wrapped_min(x: pd.Series[S1]) -> S1:
         )
 
         # Here, MyPy infers dict[object, object], so it must be explicitly annotated
-        agg_dict3: dict[str | int, str | Callable] = {
+        agg_dict3: dict[str | int, str | Callable[..., Any]] = {
             "col2": min,
             "col3": "max",
             0: wrapped_min,
diff --git a/tests/test_windowing.py b/tests/test_windowing.py
index ced325fed..741d3192f 100644
--- a/tests/test_windowing.py
+++ b/tests/test_windowing.py
@@ -157,7 +157,7 @@ def _mean(df: DataFrame) -> Series:
             DataFrame,
         )
 
-    # func: np.ufunc | Callable | str | list[Callable | str, np.ufunc] | dict[Hashable, Callable | str | np.ufunc| list[Callable | str]]
+    # func: np.ufunc | Callable[..., Any] | str | list[Callable[..., Any] | str, np.ufunc] | dict[Hashable, Callable[..., Any] | str | np.ufunc | list[Callable[..., Any] | str]]
     check(assert_type(DF.rolling(10).agg("sum"), DataFrame), DataFrame)