diff --git a/src/ol/source/BingMaps.js b/src/ol/source/BingMaps.js
index 5c17e20aa3..d2f921274b 100644
--- a/src/ol/source/BingMaps.js
+++ b/src/ol/source/BingMaps.js
@@ -2,7 +2,7 @@
  * @module ol/source/BingMaps
  */
 import {inherits} from '../index.js';
-import _ol_TileUrlFunction_ from '../TileUrlFunction.js';
+import {createFromTileUrlFunctions} from '../tileurlfunction.js';
 import {applyTransform, intersects} from '../extent.js';
 import _ol_net_ from '../net.js';
 import {get as getProjection, getTransformFromProjections} from '../proj.js';
@@ -142,7 +142,7 @@ _ol_source_BingMaps_.prototype.handleImageryMetadataResponse = function(response
 
   var culture = this.culture_;
   var hidpi = this.hidpi_;
-  this.tileUrlFunction = _ol_TileUrlFunction_.createFromTileUrlFunctions(
+  this.tileUrlFunction = createFromTileUrlFunctions(
       resource.imageUrlSubdomains.map(function(subdomain) {
         var quadKeyTileCoord = [0, 0, 0];
         var imageUrl = resource.imageUrl
diff --git a/src/ol/source/TileJSON.js b/src/ol/source/TileJSON.js
index abdfe50c2e..e4f1e59d2d 100644
--- a/src/ol/source/TileJSON.js
+++ b/src/ol/source/TileJSON.js
@@ -8,7 +8,7 @@
  */
 
 import {inherits} from '../index.js';
-import _ol_TileUrlFunction_ from '../TileUrlFunction.js';
+import {createFromTemplates} from '../tileurlfunction.js';
 import _ol_asserts_ from '../asserts.js';
 import {applyTransform, intersects} from '../extent.js';
 import _ol_net_ from '../net.js';
@@ -133,8 +133,7 @@ _ol_source_TileJSON_.prototype.handleTileJSONResponse = function(tileJSON) {
   });
   this.tileGrid = tileGrid;
 
-  this.tileUrlFunction =
-      _ol_TileUrlFunction_.createFromTemplates(tileJSON.tiles, tileGrid);
+  this.tileUrlFunction = createFromTemplates(tileJSON.tiles, tileGrid);
 
   if (tileJSON.attribution !== undefined && !this.getAttributions()) {
     var attributionExtent = extent !== undefined ?
diff --git a/src/ol/source/TileUTFGrid.js b/src/ol/source/TileUTFGrid.js
index 33195f47df..718d1feabb 100644
--- a/src/ol/source/TileUTFGrid.js
+++ b/src/ol/source/TileUTFGrid.js
@@ -4,7 +4,7 @@
 import {inherits} from '../index.js';
 import _ol_Tile_ from '../Tile.js';
 import _ol_TileState_ from '../TileState.js';
-import _ol_TileUrlFunction_ from '../TileUrlFunction.js';
+import {createFromTemplates, nullTileUrlFunction} from '../tileurlfunction.js';
 import _ol_asserts_ from '../asserts.js';
 import _ol_events_ from '../events.js';
 import EventType from '../events/EventType.js';
@@ -42,7 +42,7 @@ var _ol_source_TileUTFGrid_ = function(options) {
    * @private
    * @type {!ol.TileUrlFunctionType}
    */
-  this.tileUrlFunction_ = _ol_TileUrlFunction_.nullTileUrlFunction;
+  this.tileUrlFunction_ = nullTileUrlFunction;
 
   /**
    * @private
@@ -193,8 +193,7 @@ _ol_source_TileUTFGrid_.prototype.handleTileJSONResponse = function(tileJSON) {
     return;
   }
 
-  this.tileUrlFunction_ =
-      _ol_TileUrlFunction_.createFromTemplates(grids, tileGrid);
+  this.tileUrlFunction_ = createFromTemplates(grids, tileGrid);
 
   if (tileJSON.attribution !== undefined) {
     var attributionExtent = extent !== undefined ?
diff --git a/src/ol/source/UrlTile.js b/src/ol/source/UrlTile.js
index 1eae93a55a..6da1b582ad 100644
--- a/src/ol/source/UrlTile.js
+++ b/src/ol/source/UrlTile.js
@@ -3,7 +3,7 @@
  */
 import {getUid, inherits} from '../index.js';
 import _ol_TileState_ from '../TileState.js';
-import _ol_TileUrlFunction_ from '../TileUrlFunction.js';
+import {expandUrl, createFromTemplates, nullTileUrlFunction} from '../tileurlfunction.js';
 import _ol_source_Tile_ from '../source/Tile.js';
 import _ol_source_TileEventType_ from '../source/TileEventType.js';
 import _ol_tilecoord_ from '../tilecoord.js';
@@ -44,8 +44,7 @@ var _ol_source_UrlTile_ = function(options) {
    * @type {ol.TileUrlFunctionType}
    */
   this.tileUrlFunction = this.fixedTileUrlFunction ?
-    this.fixedTileUrlFunction.bind(this) :
-    _ol_TileUrlFunction_.nullTileUrlFunction;
+    this.fixedTileUrlFunction.bind(this) : nullTileUrlFunction;
 
   /**
    * @protected
@@ -171,10 +170,10 @@ _ol_source_UrlTile_.prototype.setTileUrlFunction = function(tileUrlFunction, opt
  * @api
  */
 _ol_source_UrlTile_.prototype.setUrl = function(url) {
-  var urls = this.urls = _ol_TileUrlFunction_.expandUrl(url);
+  var urls = this.urls = expandUrl(url);
   this.setTileUrlFunction(this.fixedTileUrlFunction ?
     this.fixedTileUrlFunction.bind(this) :
-    _ol_TileUrlFunction_.createFromTemplates(urls, this.tileGrid), url);
+    createFromTemplates(urls, this.tileGrid), url);
 };
 
 
@@ -188,7 +187,7 @@ _ol_source_UrlTile_.prototype.setUrls = function(urls) {
   var key = urls.join('\n');
   this.setTileUrlFunction(this.fixedTileUrlFunction ?
     this.fixedTileUrlFunction.bind(this) :
-    _ol_TileUrlFunction_.createFromTemplates(urls, this.tileGrid), key);
+    createFromTemplates(urls, this.tileGrid), key);
 };
 
 
diff --git a/src/ol/source/WMTS.js b/src/ol/source/WMTS.js
index 1ca6f03246..15b2106d63 100644
--- a/src/ol/source/WMTS.js
+++ b/src/ol/source/WMTS.js
@@ -2,7 +2,7 @@
  * @module ol/source/WMTS
  */
 import {inherits} from '../index.js';
-import _ol_TileUrlFunction_ from '../TileUrlFunction.js';
+import {expandUrl, createFromTileUrlFunctions, nullTileUrlFunction} from '../tileurlfunction.js';
 import _ol_array_ from '../array.js';
 import {containsExtent} from '../extent.js';
 import _ol_obj_ from '../obj.js';
@@ -63,7 +63,7 @@ var _ol_source_WMTS_ = function(options) {
 
   var urls = options.urls;
   if (urls === undefined && options.url !== undefined) {
-    urls = _ol_TileUrlFunction_.expandUrl(options.url);
+    urls = expandUrl(options.url);
   }
 
   // FIXME: should we guess this requestEncoding from options.url(s)
@@ -151,9 +151,7 @@ var _ol_source_WMTS_ = function(options) {
   };
 
   var tileUrlFunction = (urls && urls.length > 0) ?
-    _ol_TileUrlFunction_.createFromTileUrlFunctions(
-        urls.map(this.createFromWMTSTemplate_)) :
-    _ol_TileUrlFunction_.nullTileUrlFunction;
+    createFromTileUrlFunctions(urls.map(this.createFromWMTSTemplate_)) : nullTileUrlFunction;
 
   _ol_source_TileImage_.call(this, {
     attributions: options.attributions,
@@ -187,7 +185,7 @@ _ol_source_WMTS_.prototype.setUrls = function(urls) {
   var key = urls.join('\n');
   this.setTileUrlFunction(this.fixedTileUrlFunction ?
     this.fixedTileUrlFunction.bind(this) :
-    _ol_TileUrlFunction_.createFromTileUrlFunctions(urls.map(this.createFromWMTSTemplate_.bind(this))), key);
+    createFromTileUrlFunctions(urls.map(this.createFromWMTSTemplate_.bind(this))), key);
 };
 
 /**
diff --git a/src/ol/source/Zoomify.js b/src/ol/source/Zoomify.js
index f3f08c2ddf..cbab0a112f 100644
--- a/src/ol/source/Zoomify.js
+++ b/src/ol/source/Zoomify.js
@@ -5,7 +5,7 @@ import {DEFAULT_TILE_SIZE} from '../tilegrid/common.js';
 import {inherits} from '../index.js';
 import _ol_ImageTile_ from '../ImageTile.js';
 import _ol_TileState_ from '../TileState.js';
-import _ol_TileUrlFunction_ from '../TileUrlFunction.js';
+import {expandUrl, createFromTileUrlFunctions} from '../tileurlfunction.js';
 import _ol_asserts_ from '../asserts.js';
 import {createCanvasContext2D} from '../dom.js';
 import {getTopLeft} from '../extent.js';
@@ -92,7 +92,7 @@ var _ol_source_Zoomify_ = function(opt_options) {
   if (url && url.indexOf('{TileGroup}') == -1 && url.indexOf('{tileIndex}') == -1) {
     url += '{TileGroup}/{z}-{x}-{y}.jpg';
   }
-  var urls = _ol_TileUrlFunction_.expandUrl(url);
+  var urls = expandUrl(url);
 
   /**
    * @param {string} template Template.
@@ -133,7 +133,7 @@ var _ol_source_Zoomify_ = function(opt_options) {
       });
   }
 
-  var tileUrlFunction = _ol_TileUrlFunction_.createFromTileUrlFunctions(urls.map(createFromTemplate));
+  var tileUrlFunction = createFromTileUrlFunctions(urls.map(createFromTemplate));
 
   var ZoomifyTileClass = _ol_source_Zoomify_.Tile_.bind(null, tileGrid);
 
diff --git a/src/ol/TileUrlFunction.js b/src/ol/tileurlfunction.js
similarity index 83%
rename from src/ol/TileUrlFunction.js
rename to src/ol/tileurlfunction.js
index df6bb3fc1e..a5fd27d156 100644
--- a/src/ol/TileUrlFunction.js
+++ b/src/ol/tileurlfunction.js
@@ -1,10 +1,9 @@
 /**
- * @module ol/TileUrlFunction
+ * @module ol/tileurlfunction
  */
 import _ol_asserts_ from './asserts.js';
 import _ol_math_ from './math.js';
 import _ol_tilecoord_ from './tilecoord.js';
-var _ol_TileUrlFunction_ = {};
 
 
 /**
@@ -12,7 +11,7 @@ var _ol_TileUrlFunction_ = {};
  * @param {ol.tilegrid.TileGrid} tileGrid Tile grid.
  * @return {ol.TileUrlFunctionType} Tile URL function.
  */
-_ol_TileUrlFunction_.createFromTemplate = function(template, tileGrid) {
+export function createFromTemplate(template, tileGrid) {
   var zRegEx = /\{z\}/g;
   var xRegEx = /\{x\}/g;
   var yRegEx = /\{y\}/g;
@@ -44,7 +43,7 @@ _ol_TileUrlFunction_.createFromTemplate = function(template, tileGrid) {
       }
     }
   );
-};
+}
 
 
 /**
@@ -52,22 +51,21 @@ _ol_TileUrlFunction_.createFromTemplate = function(template, tileGrid) {
  * @param {ol.tilegrid.TileGrid} tileGrid Tile grid.
  * @return {ol.TileUrlFunctionType} Tile URL function.
  */
-_ol_TileUrlFunction_.createFromTemplates = function(templates, tileGrid) {
+export function createFromTemplates(templates, tileGrid) {
   var len = templates.length;
   var tileUrlFunctions = new Array(len);
   for (var i = 0; i < len; ++i) {
-    tileUrlFunctions[i] = _ol_TileUrlFunction_.createFromTemplate(
-        templates[i], tileGrid);
+    tileUrlFunctions[i] = createFromTemplate(templates[i], tileGrid);
   }
-  return _ol_TileUrlFunction_.createFromTileUrlFunctions(tileUrlFunctions);
-};
+  return createFromTileUrlFunctions(tileUrlFunctions);
+}
 
 
 /**
  * @param {Array.<ol.TileUrlFunctionType>} tileUrlFunctions Tile URL Functions.
  * @return {ol.TileUrlFunctionType} Tile URL function.
  */
-_ol_TileUrlFunction_.createFromTileUrlFunctions = function(tileUrlFunctions) {
+export function createFromTileUrlFunctions(tileUrlFunctions) {
   if (tileUrlFunctions.length === 1) {
     return tileUrlFunctions[0];
   }
@@ -88,7 +86,7 @@ _ol_TileUrlFunction_.createFromTileUrlFunctions = function(tileUrlFunctions) {
       }
     }
   );
-};
+}
 
 
 /**
@@ -97,16 +95,16 @@ _ol_TileUrlFunction_.createFromTileUrlFunctions = function(tileUrlFunctions) {
  * @param {ol.proj.Projection} projection Projection.
  * @return {string|undefined} Tile URL.
  */
-_ol_TileUrlFunction_.nullTileUrlFunction = function(tileCoord, pixelRatio, projection) {
+export function nullTileUrlFunction(tileCoord, pixelRatio, projection) {
   return undefined;
-};
+}
 
 
 /**
  * @param {string} url URL.
  * @return {Array.<string>} Array of urls.
  */
-_ol_TileUrlFunction_.expandUrl = function(url) {
+export function expandUrl(url) {
   var urls = [];
   var match = /\{([a-z])-([a-z])\}/.exec(url);
   if (match) {
@@ -130,5 +128,4 @@ _ol_TileUrlFunction_.expandUrl = function(url) {
   }
   urls.push(url);
   return urls;
-};
-export default _ol_TileUrlFunction_;
+}
diff --git a/test/spec/ol/source/tileimage.test.js b/test/spec/ol/source/tileimage.test.js
index 32319333f6..fc6c9c90d2 100644
--- a/test/spec/ol/source/tileimage.test.js
+++ b/test/spec/ol/source/tileimage.test.js
@@ -1,6 +1,6 @@
 import _ol_ImageTile_ from '../../../../src/ol/ImageTile.js';
 import _ol_TileState_ from '../../../../src/ol/TileState.js';
-import _ol_TileUrlFunction_ from '../../../../src/ol/TileUrlFunction.js';
+import {createFromTemplate} from '../../../../src/ol/tileurlfunction.js';
 import _ol_events_ from '../../../../src/ol/events.js';
 import {addCommon, clearAllProjections, get as getProjection} from '../../../../src/ol/proj.js';
 import {register} from '../../../../src/ol/proj/proj4.js';
@@ -20,8 +20,7 @@ describe('ol.source.TileImage', function() {
       projection: proj,
       tileGrid: opt_tileGrid ||
           _ol_tilegrid_.createForProjection(proj, undefined, [2, 2]),
-      tileUrlFunction: _ol_TileUrlFunction_.createFromTemplate(
-          'data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACwAAAAAAQABAAACAkQBADs=')
+      tileUrlFunction: createFromTemplate('data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACwAAAAAAQABAAACAkQBADs=')
     });
   }
 
diff --git a/test/spec/ol/tileurlfunction.test.js b/test/spec/ol/tileurlfunction.test.js
index 05babaaac6..1a65cb19cc 100644
--- a/test/spec/ol/tileurlfunction.test.js
+++ b/test/spec/ol/tileurlfunction.test.js
@@ -1,4 +1,4 @@
-import _ol_TileUrlFunction_ from '../../../src/ol/TileUrlFunction.js';
+import {expandUrl, createFromTemplate, createFromTemplates, createFromTileUrlFunctions} from '../../../src/ol/tileurlfunction.js';
 import _ol_tilecoord_ from '../../../src/ol/tilecoord.js';
 import _ol_tilegrid_ from '../../../src/ol/tilegrid.js';
 import _ol_tilegrid_TileGrid_ from '../../../src/ol/tilegrid/TileGrid.js';
@@ -9,7 +9,7 @@ describe('ol.TileUrlFunction', function() {
     describe('with number range', function() {
       it('creates expected URLs', function() {
         var template = 'http://tile-{1-3}/{z}/{x}/{y}';
-        var urls = _ol_TileUrlFunction_.expandUrl(template);
+        var urls = expandUrl(template);
         expect(urls).to.eql([
           'http://tile-1/{z}/{x}/{y}',
           'http://tile-2/{z}/{x}/{y}',
@@ -18,7 +18,7 @@ describe('ol.TileUrlFunction', function() {
       });
       it('creates expected URLs', function() {
         var template = 'http://tile-{9-11}/{z}/{x}/{y}';
-        var urls = _ol_TileUrlFunction_.expandUrl(template);
+        var urls = expandUrl(template);
         expect(urls).to.eql([
           'http://tile-9/{z}/{x}/{y}',
           'http://tile-10/{z}/{x}/{y}',
@@ -29,7 +29,7 @@ describe('ol.TileUrlFunction', function() {
     describe('with character range', function() {
       it('creates expected URLs', function() {
         var template = 'http://tile-{c-e}/{z}/{x}/{y}';
-        var urls = _ol_TileUrlFunction_.expandUrl(template);
+        var urls = expandUrl(template);
         expect(urls).to.eql([
           'http://tile-c/{z}/{x}/{y}',
           'http://tile-d/{z}/{x}/{y}',
@@ -40,7 +40,7 @@ describe('ol.TileUrlFunction', function() {
     describe('without range', function() {
       it('creates expected URLs', function() {
         var template = 'http://tiles.example.com/{z}/{x}/{y}';
-        var urls = _ol_TileUrlFunction_.expandUrl(template);
+        var urls = expandUrl(template);
         expect(urls).to.eql([
           'http://tiles.example.com/{z}/{x}/{y}'
         ]);
@@ -51,14 +51,12 @@ describe('ol.TileUrlFunction', function() {
   describe('createFromTemplate', function() {
     var tileGrid = _ol_tilegrid_.createXYZ();
     it('creates expected URL', function() {
-      var tileUrl = _ol_TileUrlFunction_.createFromTemplate(
-          '{z}/{x}/{y}', tileGrid);
+      var tileUrl = createFromTemplate('{z}/{x}/{y}', tileGrid);
       expect(tileUrl([3, 2, -2])).to.eql('3/2/1');
       expect(tileUrl(null)).to.be(undefined);
     });
     it('accepts {-y} placeholder', function() {
-      var tileUrl = _ol_TileUrlFunction_.createFromTemplate(
-          '{z}/{x}/{-y}', tileGrid);
+      var tileUrl = createFromTemplate('{z}/{x}/{-y}', tileGrid);
       expect(tileUrl([3, 2, -3])).to.eql('3/2/5');
     });
     it('returns correct value for {-y} with custom tile grids', function() {
@@ -67,13 +65,11 @@ describe('ol.TileUrlFunction', function() {
         origin: [-180, -90],
         resolutions: [360 / 256, 360 / 512, 360 / 1024, 360 / 2048]
       });
-      var tileUrl = _ol_TileUrlFunction_.createFromTemplate(
-          '{z}/{x}/{-y}', customTileGrid);
+      var tileUrl = createFromTemplate('{z}/{x}/{-y}', customTileGrid);
       expect(tileUrl([3, 2, -3])).to.eql('3/2/1');
     });
     it('replaces multiple placeholder occurrences', function() {
-      var tileUrl = _ol_TileUrlFunction_.createFromTemplate(
-          '{z}/{z}{x}{y}', tileGrid);
+      var tileUrl = createFromTemplate('{z}/{z}{x}{y}', tileGrid);
       expect(tileUrl([3, 2, -2])).to.eql('3/321');
     });
   });
@@ -86,8 +82,7 @@ describe('ol.TileUrlFunction', function() {
         'http://tile-2/{z}/{x}/{y}',
         'http://tile-3/{z}/{x}/{y}'
       ];
-      var tileUrlFunction = _ol_TileUrlFunction_.createFromTemplates(
-          templates, tileGrid);
+      var tileUrlFunction = createFromTemplates(templates, tileGrid);
       var tileCoord = [3, 2, -2];
 
       /* eslint-disable openlayers-internal/no-missing-requires */
@@ -115,9 +110,9 @@ describe('ol.TileUrlFunction', function() {
   describe('createFromTileUrlFunctions', function() {
     var tileGrid = _ol_tilegrid_.createXYZ();
     it('creates expected URL', function() {
-      var tileUrl = _ol_TileUrlFunction_.createFromTileUrlFunctions([
-        _ol_TileUrlFunction_.createFromTemplate('a', tileGrid),
-        _ol_TileUrlFunction_.createFromTemplate('b', tileGrid)
+      var tileUrl = createFromTileUrlFunctions([
+        createFromTemplate('a', tileGrid),
+        createFromTemplate('b', tileGrid)
       ]);
       var tileUrl1 = tileUrl([1, 0, 0]);
       var tileUrl2 = tileUrl([1, 0, 1]);