diff --git a/Eigen/src/Core/functors/UnaryFunctors.h b/Eigen/src/Core/functors/UnaryFunctors.h
index 3c7dfb7..a3fc44c 100644
--- a/Eigen/src/Core/functors/UnaryFunctors.h
+++ b/Eigen/src/Core/functors/UnaryFunctors.h
@@ -1091,12 +1091,9 @@
   };
 };
 
-/** \internal
- * \brief Template functor to compute the logistic function of a scalar
- * \sa class CwiseUnaryOp, ArrayBase::logistic()
- */
-template <typename T>
-struct scalar_logistic_op {
+// Real-valued implementation.
+template <typename T, typename EnableIf = void>
+struct scalar_logistic_op_impl {
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE T operator()(const T& x) const { return packetOp(x); }
 
   template <typename Packet>
@@ -1109,6 +1106,22 @@
   }
 };
 
+// Complex-valud implementation.
+template <typename T>
+struct scalar_logistic_op_impl<T, std::enable_if_t<NumTraits<T>::IsComplex>> {
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE T operator()(const T& x) const {
+    const T e = numext::exp(x);
+    return (numext::isinf)(numext::real(e)) ? T(1) : e / (e + T(1));
+  }
+};
+
+/** \internal
+ * \brief Template functor to compute the logistic function of a scalar
+ * \sa class CwiseUnaryOp, ArrayBase::logistic()
+ */
+template <typename T>
+struct scalar_logistic_op : scalar_logistic_op_impl<T> {};
+
 // TODO(rmlarsen): Enable the following on host when integer_packet is defined
 // for the relevant packet types.
 #ifdef EIGEN_GPU_CC
@@ -1206,7 +1219,7 @@
     Cost = scalar_div_cost<T, packet_traits<T>::HasDiv>::value +
            (internal::is_same<T, float>::value ? NumTraits<T>::AddCost * 15 + NumTraits<T>::MulCost * 11
                                                : NumTraits<T>::AddCost * 2 + functor_traits<scalar_exp_op<T>>::Cost),
-    PacketAccess = packet_traits<T>::HasAdd && packet_traits<T>::HasDiv &&
+    PacketAccess = !NumTraits<T>::IsComplex && packet_traits<T>::HasAdd && packet_traits<T>::HasDiv &&
                    (internal::is_same<T, float>::value
                         ? packet_traits<T>::HasMul && packet_traits<T>::HasMax && packet_traits<T>::HasMin
                         : packet_traits<T>::HasNegate && packet_traits<T>::HasExp)
diff --git a/test/array_cwise.cpp b/test/array_cwise.cpp
index bfea96a..9b62969 100644
--- a/test/array_cwise.cpp
+++ b/test/array_cwise.cpp
@@ -976,7 +976,14 @@
   VERIFY_IS_APPROX(sinh(m1), 0.5*(exp(m1)-exp(-m1)));
   VERIFY_IS_APPROX(cosh(m1), 0.5*(exp(m1)+exp(-m1)));
   VERIFY_IS_APPROX(tanh(m1), (0.5*(exp(m1)-exp(-m1)))/(0.5*(exp(m1)+exp(-m1))));
-  VERIFY_IS_APPROX(logistic(m1), (1.0/(1.0 + exp(-m1))));
+  VERIFY_IS_APPROX(logistic(m1), (1.0 / (1.0 + exp(-m1))));
+  if (m1.size() > 0) {
+    // Complex exponential overflow edge-case.
+    Scalar old_m1_val = m1(0, 0);
+    m1(0, 0) = std::complex<RealScalar>(1000.0, 1000.0);
+    VERIFY_IS_APPROX(logistic(m1), (1.0 / (1.0 + exp(-m1))));
+    m1(0, 0) = old_m1_val;  // Restore value for future tests.
+  }
 
   for (Index i = 0; i < m.rows(); ++i)
     for (Index j = 0; j < m.cols(); ++j)