diff --git a/GPy/kern/_src/stationary.py b/GPy/kern/_src/stationary.py
index cc5634e9..852f1827 100644
--- a/GPy/kern/_src/stationary.py
+++ b/GPy/kern/_src/stationary.py
@@ -71,6 +71,13 @@ class Stationary(Kern):
 
     @Cache_this(limit=5, ignore_args=())
     def K(self, X, X2=None):
+        """
+        Kernel function applied on inputs X and X2.
+        In the stationary case there is an inner function depending on the
+        distances from X to X2, called r.
+
+        K(X, X2) = K_of_r((X-X2)**2)
+        """
         r = self._scaled_dist(X, X2)
         return self.K_of_r(r)
 
@@ -311,7 +318,7 @@ class Matern52(Stationary):
 
 class ExpQuad(Stationary):
     """
-    The Exponentiated quadratic covariance function. 
+    The Exponentiated quadratic covariance function.
 
     .. math::
 
diff --git a/GPy/util/caching.py b/GPy/util/caching.py
index e15fca9c..85c4caa8 100644
--- a/GPy/util/caching.py
+++ b/GPy/util/caching.py
@@ -188,4 +188,6 @@ class Cache_this(object):
         self.ignore_args = ignore_args
         self.force_args = force_kwargs
     def __call__(self, f):
-        return Cacher_wrap(f, self.limit, self.ignore_args, self.force_args)
+        newf = Cacher_wrap(f, self.limit, self.ignore_args, self.force_args)
+        update_wrapper(newf, f)
+        return newf