diff --git a/test/test_heuman_lambda.hpp b/test/test_heuman_lambda.hpp
index 23720b2d0..cdcbbba51 100644
--- a/test/test_heuman_lambda.hpp
+++ b/test/test_heuman_lambda.hpp
@@ -71,5 +71,12 @@ void test_spots(T, const char* type_name)
 #include "heuman_lambda_data.ipp"
 
     do_test_heuman_lambda<T>(heuman_lambda_data, type_name, "Elliptic Integral Heuman Lambda: Random Data");
+
+    //
+    // Special cases for coverage:
+    //
+    BOOST_CHECK_THROW(boost::math::heuman_lambda(T(1.1), T(0.5)), std::domain_error);
+    BOOST_CHECK_THROW(boost::math::heuman_lambda(static_cast<T>(1e-100), T(2.5)), std::domain_error);
+
 }