diff --git a/include/boost/math/special_functions/detail/bessel_jy.hpp b/include/boost/math/special_functions/detail/bessel_jy.hpp
index a41e2744d3..90e099eb77 100644
--- a/include/boost/math/special_functions/detail/bessel_jy.hpp
+++ b/include/boost/math/special_functions/detail/bessel_jy.hpp
@@ -310,14 +310,14 @@ namespace boost { namespace math {
             else if(kind & need_j)
                *J = policies::raise_domain_error<T>(function, "Value of Bessel J_v(x) is complex-infinity at %1%", x, pol); // complex infinity
             else
-               *J = std::numeric_limits<T>::quiet_NaN();  // any value will do, not using J.
+               *J = std::numeric_limits<T>::quiet_NaN();  // LCOV_EXCL_LINE, we should never get here, any value will do, not using J.
 
             if((kind & need_y) == 0)
                *Y = std::numeric_limits<T>::quiet_NaN();  // any value will do, not using Y.
             else
             {
                // We shoud never get here:
-               BOOST_MATH_ASSERT(x != 0);
+               BOOST_MATH_ASSERT(x != 0); // LCOV_EXCL_LINE
             }
             return 1;
          }
@@ -420,9 +420,9 @@ namespace boost { namespace math {
          {
             if(temme_jy(u, x, &Yu, &Yu1, pol))             // Temme series
             {
-               // domain error, this should really have already been handled, LCOV_EXCL_LINE
-               *J = *Y = Yu;
-               return 1;
+               // domain error, this should really have already been handled.
+               *J = *Y = Yu; // LCOV_EXCL_LINE
+               return 1;     // LCOV_EXCL_LINE
             }
             prev = Yu;
             current = Yu1;
diff --git a/include/boost/math/special_functions/detail/bessel_jy_series.hpp b/include/boost/math/special_functions/detail/bessel_jy_series.hpp
index ebcb62f910..db46f36400 100644
--- a/include/boost/math/special_functions/detail/bessel_jy_series.hpp
+++ b/include/boost/math/special_functions/detail/bessel_jy_series.hpp
@@ -156,10 +156,13 @@ inline T bessel_y_small_z_series(T v, T x, T* pscale, const Policy& pol)
       {
          scale /= gam;
          gam = 1;
+         /*
+         * We can never get here, it would require p < 1/max_value.
          if(tools::max_value<T>() * p < gam)
          {
             return -policies::raise_overflow_error<T>(function, nullptr, pol);
          }
+         */
       }
       prefix = -gam / (constants::pi<T>() * p);
    }
@@ -244,14 +247,15 @@ T bessel_yn_small_z(int n, T z, T* scale, const Policy& pol)
       #endif
       
       T result = -((boost::math::factorial<T>(n - 1, pol) / constants::pi<T>()));
-      if(p * tools::max_value<T>() < result)
+      if(p * tools::max_value<T>() < fabs(result))
       {
          T div = tools::max_value<T>() / 8;
          result /= div;
          *scale /= div;
          if(p * tools::max_value<T>() < result)
          {
-            return -policies::raise_overflow_error<T>("bessel_yn_small_z<%1%>(%1%,%1%)", nullptr, pol);
+            // Impossible to get here??
+            return -policies::raise_overflow_error<T>("bessel_yn_small_z<%1%>(%1%,%1%)", nullptr, pol); // LCOV_EXCL_LINE
          }
       }
       return result / p;
diff --git a/include/boost/math/special_functions/detail/bessel_jy_zero.hpp b/include/boost/math/special_functions/detail/bessel_jy_zero.hpp
index 3fdb413d9f..cb1fc48d83 100644
--- a/include/boost/math/special_functions/detail/bessel_jy_zero.hpp
+++ b/include/boost/math/special_functions/detail/bessel_jy_zero.hpp
@@ -315,7 +315,7 @@
                 }
                 else
                 {
-                  root_lo *= 0.75F;
+                  root_lo *= 0.75F; // LCOV_EXCL_LINE probably unreachable, but hard to prove?
                 }
               }
             }
diff --git a/include/boost/math/special_functions/detail/bessel_y0.hpp b/include/boost/math/special_functions/detail/bessel_y0.hpp
index 952b284185..ed43189f8d 100644
--- a/include/boost/math/special_functions/detail/bessel_y0.hpp
+++ b/include/boost/math/special_functions/detail/bessel_y0.hpp
@@ -39,7 +39,7 @@ template <typename T, typename Policy>
 T bessel_y0(T x, const Policy&);
 
 template <typename T, typename Policy>
-T bessel_y0(T x, const Policy& pol)
+T bessel_y0(T x, const Policy&)
 {
     static const T P1[] = {
          static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0723538782003176831e+11)),
diff --git a/include/boost/math/special_functions/detail/bessel_y1.hpp b/include/boost/math/special_functions/detail/bessel_y1.hpp
index b7c5c2f7ef..3ac696bb5c 100644
--- a/include/boost/math/special_functions/detail/bessel_y1.hpp
+++ b/include/boost/math/special_functions/detail/bessel_y1.hpp
@@ -39,7 +39,7 @@ template <typename T, typename Policy>
 T bessel_y1(T x, const Policy&);
 
 template <typename T, typename Policy>
-T bessel_y1(T x, const Policy& pol)
+T bessel_y1(T x, const Policy&)
 {
     static const T P1[] = {
          static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.0535726612579544093e+13)),
diff --git a/test/test_bessel_y.hpp b/test/test_bessel_y.hpp
index a6fa036681..ccbf61f78c 100644
--- a/test/test_bessel_y.hpp
+++ b/test/test_bessel_y.hpp
@@ -246,7 +246,7 @@ void test_bessel(T, const char* name)
 #endif
     BOOST_IF_CONSTEXPR(std::numeric_limits<T>::has_infinity && (std::numeric_limits<T>::min_exponent < -1072))
     {
-       static const std::array<std::array<T, 3>, 5> coverage_data = { {
+       static const std::array<std::array<T, 3>, 7> coverage_data = { {
 #if LDBL_MAX_10_EXP > 4931
           {{ SC_(15.25), ldexp(T(1), -1071), SC_(-9.39553199265929955912687892204143267985847111378392154596e4931)}},
 #else
@@ -264,6 +264,12 @@ void test_bessel(T, const char* name)
 #endif
           {{ SC_(233.0), ldexp(T(1), -63), -std::numeric_limits<T>::infinity() }},
           {{ SC_(233.0), ldexp(T(1), -64), -std::numeric_limits<T>::infinity() }},
+#if LDBL_MAX_10_EXP > 413
+          {{ SC_(200.25), SC_(1.25), SC_(-3.545198572052800784992190965856441074217589237581037286156e413)}},
+#else
+          {{ SC_(200.25), SC_(1.25), -std::numeric_limits<T>::infinity()}},
+#endif
+          {{ SC_(1652.25), SC_(1.25), -std::numeric_limits<T>::infinity()}},
       } };
 
        do_test_cyl_neumann_y<T>(coverage_data, name, "Extra Coverage Data");