diff --git a/include/boost/math/special_functions/detail/hypergeometric_asym.hpp b/include/boost/math/special_functions/detail/hypergeometric_asym.hpp
index 965675a9b..70028c16f 100644
--- a/include/boost/math/special_functions/detail/hypergeometric_asym.hpp
+++ b/include/boost/math/special_functions/detail/hypergeometric_asym.hpp
@@ -22,7 +22,7 @@
   inline T hypergeometric_1F1_asym_positive_series(const T& a, const T& b, const T& z, const Policy& pol)
   {
     BOOST_MATH_STD_USING
-    static const char* const function = "boost::math::hypergeometric_1F1_asym_positive_series<%1%>(%1%,%1%,%1%)";
+    //static const char* const function = "boost::math::hypergeometric_1F1_asym_positive_series<%1%>(%1%,%1%,%1%)";
 
     const bool is_a_integer = (a == floor(a));
     const bool is_b_integer = (b == floor(b));
@@ -42,7 +42,7 @@
   inline T hypergeometric_1F1_asym_negative_series(const T& a, const T& b, const T& z, const Policy& pol)
   {
     BOOST_MATH_STD_USING
-    static const char* const function = "boost::math::hypergeometric_1F1_asym_negative_series<%1%>(%1%,%1%,%1%)";
+    //static const char* const function = "boost::math::hypergeometric_1F1_asym_negative_series<%1%>(%1%,%1%,%1%)";
 
     const T b_minus_a = b - a;
 
diff --git a/test/test_1F1.cpp b/test/test_1F1.cpp
index e124aa2d6..3f14772ec 100644
--- a/test/test_1F1.cpp
+++ b/test/test_1F1.cpp
@@ -54,10 +54,13 @@ void expected_results()
 
 BOOST_AUTO_TEST_CASE( test_main )
 {
-   typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<40> > dec_40;
+   //typedef boost::multiprecision::number<boost::multiprecision::cpp_dec_float<40> > dec_40;
    expected_results();
    BOOST_MATH_CONTROL_FP;
 
+   test_hypergeometric_mellin_transform<double>();
+   test_hypergeometric_laplace_transform<double>();
+
 #ifndef BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
    //test_spots(0.0F, "float");
 #endif
diff --git a/test/test_1F1.hpp b/test/test_1F1.hpp
index d641b81cb..b7ab20625 100644
--- a/test/test_1F1.hpp
+++ b/test/test_1F1.hpp
@@ -23,6 +23,7 @@
 #include "table_type.hpp"
 
 #include <boost/math/special_functions/hypergeometric_1F1.hpp>
+#include <boost/math/quadrature/exp_sinh.hpp>
 
 template <class Real, class T>
 void do_test_2F0(const T& data, const char* type_name, const char* test_name)
@@ -82,3 +83,52 @@ void test_spots(T z, const char* type_name)
    test_spots1(z, type_name);
    test_spots2(z, type_name);
 }
+
+
+// Tests the Mellin transform formula given here: https://dlmf.nist.gov/13.10, Equation 13.10.10
+template <class Real>
+void test_hypergeometric_mellin_transform()
+{
+    using boost::math::hypergeometric_1F1;
+    using boost::math::quadrature::exp_sinh;
+    using boost::math::tgamma;
+    using std::pow;
+
+    // Constraint: 0 < lambda < a.
+    Real lambda = 0.5;
+    Real a = 1;
+    Real b = 3;
+    auto f = [&](Real t)->Real { return pow(t, lambda - 1)*hypergeometric_1F1(a, b, -t); };
+
+    auto integrator = exp_sinh<double>();
+    Real computed = integrator.integrate(f, boost::math::tools::epsilon<Real>());
+    Real expected = tgamma(b)*tgamma(lambda)*tgamma(a-lambda)/(tgamma(a)*tgamma(b-lambda));
+
+    Real tol = boost::math::tools::epsilon<Real>() * 10;
+    BOOST_CHECK_CLOSE(computed, expected, tol);
+}
+
+
+// Tests the Laplace transform formula given here: https://dlmf.nist.gov/13.10, Equation 13.10.4
+template <class Real>
+void test_hypergeometric_laplace_transform()
+{
+    using boost::math::hypergeometric_1F1;
+    using boost::math::quadrature::exp_sinh;
+    using boost::math::tgamma;
+    using std::pow;
+    using std::exp;
+
+    // Set a = 1 blows up for some reason . . .
+    Real a = -1;
+    Real b = 3;
+    Real z = 1.5;
+    auto f = [&](Real t)->Real { return exp(-z*t)*pow(t, b - 1)*hypergeometric_1F1(a, b, t); };
+
+    auto integrator = exp_sinh<double>();
+    Real computed = integrator.integrate(f, boost::math::tools::epsilon<Real>());
+    Real expected = tgamma(b)/(pow(z,b)*pow(1-1/z, a));
+
+    Real tol = boost::math::tools::epsilon<Real>() * 200;
+    BOOST_CHECK_CLOSE(computed, expected, tol);
+}