diff --git a/disk_objectstore/container.py b/disk_objectstore/container.py
index 7bbf080..7ba394e 100644
--- a/disk_objectstore/container.py
+++ b/disk_objectstore/container.py
@@ -8,7 +8,6 @@
 import os
 import shutil
 import uuid
-import warnings
 from collections import defaultdict, namedtuple
 from contextlib import contextmanager
 from enum import Enum
@@ -2301,41 +2300,6 @@ def import_objects(  # pylint: disable=too-many-locals,too-many-statements,too-m
 
         return old_new_obj_hashkey_mapping
 
-    def export(
-        self,
-        hashkeys: Sequence[str],
-        other_container: "Container",
-        compress: bool = False,
-        target_memory_bytes: int = 104857600,
-        callback: Optional[Callable] = None,
-    ) -> Dict[str, str]:
-        """Export the specified hashkeys to a new container (must be already initialised).
-
-        ..deprecated:: 0.5
-            Deprecated: use the ``import_objects`` method of ``other_container`` instead. Will be removed in 0.6.
-
-        :param hashkeys: an iterable of hash keys.
-        :param other_container: another Container class into which you want to export the specified hash keys of this
-            container.
-        :param compress: specifies if content should be stored in compressed form.
-        :param target_memory_bytes: how much data to store in RAM before dumping to the new container. Larger values
-            allow to read and write in bulk that is more efficient, but of course require more memory.
-            Note that actual memory usage will be larger (SQLite DB, storage of the hashkeys are not included - this
-            only counts the RAM needed for the object content). Default: 100MB.
-
-        :return: a mapping from the old hash keys (in this container) to the new hash keys (in `other_container`).
-        """
-        warnings.warn(
-            "function is deprecated, use `import_objects` instead", DeprecationWarning
-        )
-        return other_container.import_objects(
-            hashkeys=hashkeys,
-            source_container=self,
-            compress=compress,
-            target_memory_bytes=target_memory_bytes,
-            callback=callback,
-        )
-
     # Let us also compute the hash
     def _validate_hashkeys_pack(  # pylint: disable=too-many-locals
         self, pack_id: int, callback: Optional[Callable] = None
diff --git a/disk_objectstore/utils.py b/disk_objectstore/utils.py
index 3dc1b03..26f7984 100644
--- a/disk_objectstore/utils.py
+++ b/disk_objectstore/utils.py
@@ -11,7 +11,6 @@
 import itertools
 import os
 import uuid
-import warnings
 import zlib
 from contextlib import contextmanager
 from enum import Enum
@@ -1188,17 +1187,6 @@ def get_hash_cls(hash_type: str) -> Callable:
         raise ValueError(f"Unknown or unsupported hash type '{hash_type}'")
 
 
-def get_hash(hash_type: str) -> Callable:
-    """Return a hash class with an update method and a hexdigest method.
-
-    .. deprecated:: Deprecated since 1.0. Use `get_hash_cls` instead.
-    """
-    warnings.warn(
-        "`get_hash` is deprecated, use `get_hash_cls` instead", DeprecationWarning
-    )
-    return get_hash_cls(hash_type)
-
-
 def _compute_hash_for_file(filepath: Path, hash_type: str) -> str | None:
     """Return the hash for the given file.
 
diff --git a/tests/test_container.py b/tests/test_container.py
index b3ba6a4..dae8841 100644
--- a/tests/test_container.py
+++ b/tests/test_container.py
@@ -2181,27 +2181,6 @@ def test_import_to_pack(
         other_container.close()
 
 
-def test_export_deprecated(temp_container):
-    """Test that the export_function exists but is deprecated."""
-    obj1 = b"111111"
-
-    with tempfile.TemporaryDirectory() as tmpdir:
-        other_container = Container(tmpdir)
-        # Use the same hash type
-        other_container.init_container(clear=True, hash_type=temp_container.hash_type)
-
-        hashkey1 = temp_container.add_object(obj1)
-
-        # Put only two objects
-        with pytest.warns(DeprecationWarning):
-            temp_container.export([hashkey1], other_container)
-
-        assert other_container.get_object_content(hashkey1) == obj1
-
-        # Close before going out, or the test will fail on Windows not being able to delete the folder
-        other_container.close()
-
-
 @pytest.mark.parametrize("compress", [True, False])
 def test_validate(temp_container, compress):
     """Test the validation function."""
diff --git a/tests/test_deprecations.py b/tests/test_deprecations.py
index 17b746d..8bf7665 100644
--- a/tests/test_deprecations.py
+++ b/tests/test_deprecations.py
@@ -1,17 +1,3 @@
 """Module to test deprecated functionality.
 
 Both to check that they work, but also to ensure full coverage."""
-import pytest
-
-from disk_objectstore import utils
-
-
-def test_get_hash():
-    """Test the get_hash method."""
-    hash_type = "sha256"
-    content = b"523453dfvsd"
-    with pytest.warns(DeprecationWarning, match="get_hash_cls"):
-        hasher = utils.get_hash(hash_type=hash_type)()
-    hasher.update(content)
-    hashkey = hasher.hexdigest()
-    assert hashkey == "11c4da82bc95154d2a3116e66c3d49568e4fd0f7184d44a9d611f2749539b7f6"