diff --git a/index.d.ts b/index.d.ts
index 7625140..038ca51 100644
--- a/index.d.ts
+++ b/index.d.ts
@@ -1,5 +1,32 @@
-declare function throat<TResult, TFn extends (...args: Array<any>) => Promise<TResult>>(size: number, fn: TFn): TFn;
-declare function throat<TResult, TFn extends (...args: Array<any>) => Promise<TResult>>(fn: TFn, size: number): TFn;
-declare function throat(size: number): <TResult>(fn: () => Promise<TResult>) => Promise<TResult>;
+/**
+ * Throttle the given function to only run `size` times in parallel.
+ * Extra calls will be queued until one of the earlier calls completes.
+ */
+declare function throat<TResult, TArgs extends any[]>(
+  size: number,
+  fn: (...args: TArgs) => Promise<TResult>
+): (...args: TArgs) => Promise<TResult>;
+
+/**
+ * Throttle the given function to only run `size` times in parallel.
+ * Extra calls will be queued until one of the earlier calls completes.
+ */
+declare function throat<TResult, TArgs extends any[]>(
+  fn: (...args: TArgs) => Promise<TResult>,
+  size: number
+): (...args: TArgs) => Promise<TResult>;
+
+/**
+ * Create a throttle that only allows `size` calls in parallel.
+ * Extra calls will be queued until one of the earlier calls completes.
+ *
+ * To create an exclusive lock, just use a `size` of `1`.
+ */
+declare function throat(
+  size: number
+): <TResult, TArgs extends any[] = []>(
+  fn: (...args: TArgs) => Promise<TResult>,
+  ...args: TArgs
+) => Promise<TResult>;
+export default throat;
 
-export = throat; // get typings via: import throat = require("throat")
diff --git a/index.js b/index.js
index f8f1e81..9e83da6 100644
--- a/index.js
+++ b/index.js
@@ -77,6 +77,8 @@ module.exports = function (PromiseArgument) {
   }
 };
 
+module.exports.default = module.exports;
+
 /* istanbul ignore next */
 if (typeof Promise === 'function') {
   module.exports.Promise = Promise;
diff --git a/package.json b/package.json
index e2954a0..b74b795 100644
--- a/package.json
+++ b/package.json
@@ -25,7 +25,7 @@
     "sauce-test": "^1.0.0",
     "test-result": "^2.0.0",
     "testit": "^3.1.0",
-    "typescript": "^2.3.4"
+    "typescript": "^3.4.5"
   },
   "jest": {
     "testEnvironment": "node"
diff --git a/test/__snapshots__/typescript.test.js.snap b/test/__snapshots__/typescript.test.js.snap
index 2069b27..82d2a14 100644
--- a/test/__snapshots__/typescript.test.js.snap
+++ b/test/__snapshots__/typescript.test.js.snap
@@ -8,8 +8,8 @@ test/typescript-example.ts(7,7): error TS2322: Type 'Promise<number>' is not ass
   Type 'number' is not assignable to type 'string'.
 test/typescript-example.ts(12,42): error TS2345: Argument of type '\\"foo\\"' is not assignable to parameter of type 'number'.
 test/typescript-example.ts(13,7): error TS2322: Type 'Promise<number>' is not assignable to type 'Promise<string>'.
-test/typescript-example.ts(19,41): error TS2345: Argument of type '(x: number) => Promise<number>' is not assignable to parameter of type '() => Promise<number>'.
-test/typescript-example.ts(20,42): error TS2345: Argument of type '(x: string) => Promise<string>' is not assignable to parameter of type '() => Promise<string>'.
-test/typescript-example.ts(21,7): error TS2322: Type 'Promise<number>' is not assignable to type 'Promise<string>'.
+test/typescript-example.ts(20,32): error TS2554: Expected 2 arguments, but got 1.
+test/typescript-example.ts(21,33): error TS2554: Expected 2 arguments, but got 1.
+test/typescript-example.ts(22,7): error TS2322: Type 'Promise<number>' is not assignable to type 'Promise<string>'.
 "
 `;
diff --git a/test/typescript-example.ts b/test/typescript-example.ts
index bbea065..8532ba3 100644
--- a/test/typescript-example.ts
+++ b/test/typescript-example.ts
@@ -1,4 +1,4 @@
-import throat = require('../');
+import throat from '../';
 
 const adderA = throat(5, (a: number, b: number) => Promise.resolve(a + b));
 
@@ -16,6 +16,7 @@ const throttle = throat(5);
 
 const t: Promise<number> = throttle(() => Promise.resolve(5));
 const t2: Promise<string> = throttle(() => Promise.resolve('foo'));
+const t3: Promise<number> = throttle((x: number) => Promise.resolve(x), 10);
 const tFail: Promise<number> = throttle((x: number) => Promise.resolve(x));
 const tFail2: Promise<string> = throttle((x: string) => Promise.resolve(x));
 const tFail3: Promise<string> = throttle(() => Promise.resolve(5));