diff --git a/stan/math/fwd/fun/hypergeometric_1F0.hpp b/stan/math/fwd/fun/hypergeometric_1F0.hpp
index b304d5c8381..5337f411f00 100644
--- a/stan/math/fwd/fun/hypergeometric_1F0.hpp
+++ b/stan/math/fwd/fun/hypergeometric_1F0.hpp
@@ -31,10 +31,10 @@ namespace math {
 template <typename Ta, typename Tz, typename FvarT = return_type_t<Ta, Tz>,
           require_all_stan_scalar_t<Ta, Tz>* = nullptr,
           require_any_fvar_t<Ta, Tz>* = nullptr>
-FvarT hypergeometric_1f0(const Ta& a, const Tz& z) {
+FvarT hypergeometric_1F0(const Ta& a, const Tz& z) {
   partials_type_t<Ta> a_val = value_of(a);
   partials_type_t<Tz> z_val = value_of(z);
-  FvarT rtn = FvarT(hypergeometric_1f0(a_val, z_val), 0.0);
+  FvarT rtn = FvarT(hypergeometric_1F0(a_val, z_val), 0.0);
   if (!is_constant_all<Ta>::value) {
     rtn.d_ += forward_as<FvarT>(a).d() * -rtn.val() * log1m(z_val);
   }
diff --git a/stan/math/fwd/fun/hypergeometric_2F1.hpp b/stan/math/fwd/fun/hypergeometric_2F1.hpp
index 9e450cda01f..afaf7cef896 100644
--- a/stan/math/fwd/fun/hypergeometric_2F1.hpp
+++ b/stan/math/fwd/fun/hypergeometric_2F1.hpp
@@ -30,11 +30,11 @@ namespace math {
 template <typename Ta1, typename Ta2, typename Tb, typename Tz,
           require_all_stan_scalar_t<Ta1, Ta2, Tb, Tz>* = nullptr,
           require_any_fvar_t<Ta1, Ta2, Tb, Tz>* = nullptr>
-inline return_type_t<Ta1, Ta1, Tb, Tz> hypergeometric_2F1(const Ta1& a1,
+inline return_type_t<Ta1, Ta2, Tb, Tz> hypergeometric_2F1(const Ta1& a1,
                                                           const Ta2& a2,
                                                           const Tb& b,
                                                           const Tz& z) {
-  using fvar_t = return_type_t<Ta1, Ta1, Tb, Tz>;
+  using fvar_t = return_type_t<Ta1, Ta2, Tb, Tz>;
 
   auto a1_val = value_of(a1);
   auto a2_val = value_of(a2);
diff --git a/stan/math/fwd/fun/hypergeometric_pFq.hpp b/stan/math/fwd/fun/hypergeometric_pFq.hpp
index 3165878ffcf..85b8cc623aa 100644
--- a/stan/math/fwd/fun/hypergeometric_pFq.hpp
+++ b/stan/math/fwd/fun/hypergeometric_pFq.hpp
@@ -7,6 +7,8 @@
 #include <stan/math/prim/fun/dot_product.hpp>
 #include <stan/math/prim/fun/grad_pFq.hpp>
 #include <stan/math/prim/fun/hypergeometric_pFq.hpp>
+#include <stan/math/prim/fun/as_column_vector_or_scalar.hpp>
+#include <stan/math/prim/fun/to_ref.hpp>
 
 namespace stan {
 namespace math {
@@ -30,33 +32,27 @@ template <typename Ta, typename Tb, typename Tz,
           bool grad_z = !is_constant<Tz>::value,
           require_all_vector_t<Ta, Tb>* = nullptr,
           require_fvar_t<FvarT>* = nullptr>
-inline FvarT hypergeometric_pFq(const Ta& a, const Tb& b, const Tz& z) {
-  using PartialsT = partials_type_t<FvarT>;
-  using ARefT = ref_type_t<Ta>;
-  using BRefT = ref_type_t<Tb>;
-
-  ARefT a_ref = a;
-  BRefT b_ref = b;
+inline FvarT hypergeometric_pFq(Ta&& a, Tb&& b, Tz&& z) {
+  auto&& a_ref = to_ref(as_column_vector_or_scalar(a));
+  auto&& b_ref = to_ref(as_column_vector_or_scalar(b));
   auto&& a_val = value_of(a_ref);
   auto&& b_val = value_of(b_ref);
   auto&& z_val = value_of(z);
-  PartialsT pfq_val = hypergeometric_pFq(a_val, b_val, z_val);
+
+  partials_type_t<FvarT> pfq_val = hypergeometric_pFq(a_val, b_val, z_val);
   auto grad_tuple
       = grad_pFq<grad_a, grad_b, grad_z>(pfq_val, a_val, b_val, z_val);
 
   FvarT rtn = FvarT(pfq_val, 0.0);
 
-  if (grad_a) {
-    rtn.d_ += dot_product(forward_as<promote_scalar_t<FvarT, ARefT>>(a_ref).d(),
-                          std::get<0>(grad_tuple));
+  if constexpr (grad_a) {
+    rtn.d_ += dot_product(a_ref.d(), std::get<0>(grad_tuple));
   }
-  if (grad_b) {
-    rtn.d_ += dot_product(forward_as<promote_scalar_t<FvarT, BRefT>>(b_ref).d(),
-                          std::get<1>(grad_tuple));
+  if constexpr (grad_b) {
+    rtn.d_ += dot_product(b_ref.d(), std::get<1>(grad_tuple));
   }
-  if (grad_z) {
-    rtn.d_ += forward_as<promote_scalar_t<FvarT, Tz>>(z).d_
-              * std::get<2>(grad_tuple);
+  if constexpr (grad_z) {
+    rtn.d_ += z.d_ * std::get<2>(grad_tuple);
   }
 
   return rtn;
diff --git a/stan/math/prim/fun/hypergeometric_1F0.hpp b/stan/math/prim/fun/hypergeometric_1F0.hpp
index 219cf4a0eb1..2833e503887 100644
--- a/stan/math/prim/fun/hypergeometric_1F0.hpp
+++ b/stan/math/prim/fun/hypergeometric_1F0.hpp
@@ -28,9 +28,8 @@ namespace math {
  * @return Hypergeometric 1F0 function
  */
 template <typename Ta, typename Tz, require_all_arithmetic_t<Ta, Tz>* = nullptr>
-return_type_t<Ta, Tz> hypergeometric_1f0(const Ta& a, const Tz& z) {
-  constexpr const char* function = "hypergeometric_1f0";
-  check_less("hypergeometric_1f0", "abs(z)", std::fabs(z), 1.0);
+return_type_t<Ta, Tz> hypergeometric_1F0(const Ta& a, const Tz& z) {
+  check_less("hypergeometric_1F0", "abs(z)", std::fabs(z), 1.0);
 
   return boost::math::hypergeometric_1F0(a, z, boost_policy_t<>());
 }
diff --git a/stan/math/prim/fun/hypergeometric_2F1.hpp b/stan/math/prim/fun/hypergeometric_2F1.hpp
index 2dbae6bc418..ae327e033f1 100644
--- a/stan/math/prim/fun/hypergeometric_2F1.hpp
+++ b/stan/math/prim/fun/hypergeometric_2F1.hpp
@@ -43,7 +43,7 @@ namespace internal {
  * @return Gauss hypergeometric function
  */
 template <typename Ta1, typename Ta2, typename Tb, typename Tz,
-          typename RtnT = boost::optional<return_type_t<Ta1, Ta1, Tb, Tz>>,
+          typename RtnT = boost::optional<return_type_t<Ta1, Ta2, Tb, Tz>>,
           require_all_arithmetic_t<Ta1, Ta2, Tb, Tz>* = nullptr>
 inline RtnT hyper_2F1_special_cases(const Ta1& a1, const Ta2& a2, const Tb& b,
                                     const Tz& z) {
@@ -148,10 +148,10 @@ inline RtnT hyper_2F1_special_cases(const Ta1& a1, const Ta2& a2, const Tb& b,
  * @return Gauss hypergeometric function
  */
 template <typename Ta1, typename Ta2, typename Tb, typename Tz,
-          typename ScalarT = return_type_t<Ta1, Ta1, Tb, Tz>,
+          typename ScalarT = return_type_t<Ta1, Ta2, Tb, Tz>,
           typename OptT = boost::optional<ScalarT>,
           require_all_arithmetic_t<Ta1, Ta2, Tb, Tz>* = nullptr>
-inline return_type_t<Ta1, Ta1, Tb, Tz> hypergeometric_2F1(const Ta1& a1,
+inline return_type_t<Ta1, Ta2, Tb, Tz> hypergeometric_2F1(const Ta1& a1,
                                                           const Ta2& a2,
                                                           const Tb& b,
                                                           const Tz& z) {
diff --git a/stan/math/prim/fun/hypergeometric_3F2.hpp b/stan/math/prim/fun/hypergeometric_3F2.hpp
index 68479d1cbcc..0cff50e8daa 100644
--- a/stan/math/prim/fun/hypergeometric_3F2.hpp
+++ b/stan/math/prim/fun/hypergeometric_3F2.hpp
@@ -114,13 +114,20 @@ template <typename Ta, typename Tb, typename Tz,
           require_all_vector_t<Ta, Tb>* = nullptr,
           require_stan_scalar_t<Tz>* = nullptr>
 inline auto hypergeometric_3F2(const Ta& a, const Tb& b, const Tz& z) {
-  check_3F2_converges("hypergeometric_3F2", a[0], a[1], a[2], b[0], b[1], z);
+  check_size_match("hypergeometric_3F2", "a", a.size(), "3", 3);
+  check_size_match("hypergeometric_3F2", "b", b.size(), "2", 2);
+
+  auto a_ref = to_vector(a);
+  auto b_ref = to_vector(b);
+
+  check_3F2_converges("hypergeometric_3F2", a_ref[0], a_ref[1], a_ref[2],
+                      b_ref[0], b_ref[1], z);
   // Boost's pFq throws convergence errors in some cases, fallback to naive
   // infinite-sum approach (tests pass for these)
-  if (z == 1.0 && (sum(b) - sum(a)) < 0.0) {
-    return internal::hypergeometric_3F2_infsum(a, b, z);
+  if (z == 1.0 && (sum(b_ref) - sum(a_ref)) < 0.0) {
+    return internal::hypergeometric_3F2_infsum(a_ref, b_ref, z);
   }
-  return hypergeometric_pFq(to_vector(a), to_vector(b), z);
+  return hypergeometric_pFq(a_ref, b_ref, z);
 }
 
 /**
diff --git a/stan/math/prim/fun/hypergeometric_pFq.hpp b/stan/math/prim/fun/hypergeometric_pFq.hpp
index 388a7113f5d..c2b30610314 100644
--- a/stan/math/prim/fun/hypergeometric_pFq.hpp
+++ b/stan/math/prim/fun/hypergeometric_pFq.hpp
@@ -4,6 +4,7 @@
 #include <stan/math/prim/meta.hpp>
 #include <stan/math/prim/err/check_not_nan.hpp>
 #include <stan/math/prim/err/check_finite.hpp>
+#include <stan/math/prim/fun/to_row_vector.hpp>
 #include <boost/math/special_functions/hypergeometric_pFq.hpp>
 
 namespace stan {
@@ -14,10 +15,6 @@ namespace math {
  * input arguments:
  * \f$_pF_q(a_1,...,a_p;b_1,...,b_q;z)\f$
  *
- * This function is not intended to be exposed to end users, only
- * used for p & q values that are stable with the grad_pFq
- * implementation.
- *
  * See 'grad_pFq.hpp' for the derivatives wrt each parameter
  *
  * @param[in] a Vector of 'a' arguments to function
@@ -26,7 +23,7 @@ namespace math {
  * @return Generalized hypergeometric function
  */
 template <typename Ta, typename Tb, typename Tz,
-          require_all_eigen_st<std::is_arithmetic, Ta, Tb>* = nullptr,
+          require_all_vector_st<std::is_arithmetic, Ta, Tb>* = nullptr,
           require_arithmetic_t<Tz>* = nullptr>
 return_type_t<Ta, Tb, Tz> hypergeometric_pFq(const Ta& a, const Tb& b,
                                              const Tz& z) {
@@ -47,8 +44,9 @@ return_type_t<Ta, Tb, Tz> hypergeometric_pFq(const Ta& a, const Tb& b,
     std::stringstream msg;
     msg << "hypergeometric function pFq does not meet convergence "
         << "conditions with given arguments. "
-        << "a: " << a_ref << ", b: " << b_ref << ", "
-        << ", z: " << z;
+        << "a: " << to_row_vector(a_ref) << ", "
+        << "b: " << to_row_vector(b_ref) << ", "
+        << "z: " << z;
     throw std::domain_error(msg.str());
   }
 
diff --git a/stan/math/rev/fun/hypergeometric_1F0.hpp b/stan/math/rev/fun/hypergeometric_1F0.hpp
index 10774fdc915..1817afe61a4 100644
--- a/stan/math/rev/fun/hypergeometric_1F0.hpp
+++ b/stan/math/rev/fun/hypergeometric_1F0.hpp
@@ -31,10 +31,10 @@ namespace math {
 template <typename Ta, typename Tz,
           require_all_stan_scalar_t<Ta, Tz>* = nullptr,
           require_any_var_t<Ta, Tz>* = nullptr>
-var hypergeometric_1f0(const Ta& a, const Tz& z) {
+var hypergeometric_1F0(const Ta& a, const Tz& z) {
   double a_val = value_of(a);
   double z_val = value_of(z);
-  double rtn = hypergeometric_1f0(a_val, z_val);
+  double rtn = hypergeometric_1F0(a_val, z_val);
   return make_callback_var(rtn, [rtn, a, z, a_val, z_val](auto& vi) mutable {
     if (!is_constant_all<Ta>::value) {
       forward_as<var>(a).adj() += vi.adj() * -rtn * log1m(z_val);
diff --git a/stan/math/rev/fun/hypergeometric_2F1.hpp b/stan/math/rev/fun/hypergeometric_2F1.hpp
index 17b72518656..f06b99604c7 100644
--- a/stan/math/rev/fun/hypergeometric_2F1.hpp
+++ b/stan/math/rev/fun/hypergeometric_2F1.hpp
@@ -29,7 +29,7 @@ namespace math {
 template <typename Ta1, typename Ta2, typename Tb, typename Tz,
           require_all_stan_scalar_t<Ta1, Ta2, Tb, Tz>* = nullptr,
           require_any_var_t<Ta1, Ta2, Tb, Tz>* = nullptr>
-inline return_type_t<Ta1, Ta1, Tb, Tz> hypergeometric_2F1(const Ta1& a1,
+inline return_type_t<Ta1, Ta2, Tb, Tz> hypergeometric_2F1(const Ta1& a1,
                                                           const Ta2& a2,
                                                           const Tb& b,
                                                           const Tz& z) {
diff --git a/stan/math/rev/fun/hypergeometric_pFq.hpp b/stan/math/rev/fun/hypergeometric_pFq.hpp
index 140c24adc05..008d91e11e8 100644
--- a/stan/math/rev/fun/hypergeometric_pFq.hpp
+++ b/stan/math/rev/fun/hypergeometric_pFq.hpp
@@ -3,6 +3,7 @@
 
 #include <stan/math/rev/core.hpp>
 #include <stan/math/rev/meta.hpp>
+#include <stan/math/prim/fun/as_column_vector_or_scalar.hpp>
 #include <stan/math/prim/fun/grad_pFq.hpp>
 #include <stan/math/prim/fun/hypergeometric_pFq.hpp>
 
@@ -25,27 +26,24 @@ template <typename Ta, typename Tb, typename Tz,
           bool grad_a = !is_constant<Ta>::value,
           bool grad_b = !is_constant<Tb>::value,
           bool grad_z = !is_constant<Tz>::value,
-          require_all_matrix_t<Ta, Tb>* = nullptr,
+          require_all_vector_t<Ta, Tb>* = nullptr,
           require_return_type_t<is_var, Ta, Tb, Tz>* = nullptr>
-inline var hypergeometric_pFq(const Ta& a, const Tb& b, const Tz& z) {
-  arena_t<Ta> arena_a = a;
-  arena_t<Tb> arena_b = b;
-  auto pfq_val = hypergeometric_pFq(a.val(), b.val(), value_of(z));
+inline var hypergeometric_pFq(Ta&& a, Tb&& b, Tz&& z) {
+  auto&& arena_a = to_arena(as_column_vector_or_scalar(std::forward<Ta>(a)));
+  auto&& arena_b = to_arena(as_column_vector_or_scalar(std::forward<Tb>(b)));
+  auto pfq_val = hypergeometric_pFq(arena_a.val(), arena_b.val(), value_of(z));
   return make_callback_var(
       pfq_val, [arena_a, arena_b, z, pfq_val](auto& vi) mutable {
         auto grad_tuple = grad_pFq<grad_a, grad_b, grad_z>(
             pfq_val, arena_a.val(), arena_b.val(), value_of(z));
         if constexpr (grad_a) {
-          forward_as<promote_scalar_t<var, Ta>>(arena_a).adj()
-              += vi.adj() * std::get<0>(grad_tuple);
+          arena_a.adj() += vi.adj() * std::get<0>(grad_tuple);
         }
         if constexpr (grad_b) {
-          forward_as<promote_scalar_t<var, Tb>>(arena_b).adj()
-              += vi.adj() * std::get<1>(grad_tuple);
+          arena_b.adj() += vi.adj() * std::get<1>(grad_tuple);
         }
         if constexpr (grad_z) {
-          forward_as<promote_scalar_t<var, Tz>>(z).adj()
-              += vi.adj() * std::get<2>(grad_tuple);
+          z.adj() += vi.adj() * std::get<2>(grad_tuple);
         }
       });
 }
diff --git a/test/sig_utils.py b/test/sig_utils.py
index 20c013f01b3..2018f6e4809 100644
--- a/test/sig_utils.py
+++ b/test/sig_utils.py
@@ -153,6 +153,7 @@ def get_cpp_type(stan_type):
 ignored = [
     "std_normal_qf", # synonym for inv_Phi
     "if_else",
+    "hypergeometric_3F2", # requires arguments of specific lengths
 ]
 
 # these are all slight renames compared to stan math
diff --git a/test/unit/math/mix/fun/hypergeometric_1F0_test.cpp b/test/unit/math/mix/fun/hypergeometric_1F0_test.cpp
index a1089461847..184dc91feda 100644
--- a/test/unit/math/mix/fun/hypergeometric_1F0_test.cpp
+++ b/test/unit/math/mix/fun/hypergeometric_1F0_test.cpp
@@ -1,9 +1,9 @@
 #include <test/unit/math/test_ad.hpp>
 
-TEST(mathMixScalFun, hypergeometric_1f0) {
+TEST(mathMixScalFun, hypergeometric_1F0) {
   auto f = [](const auto& x1, const auto& x2) {
-    using stan::math::hypergeometric_1f0;
-    return hypergeometric_1f0(x1, x2);
+    using stan::math::hypergeometric_1F0;
+    return hypergeometric_1F0(x1, x2);
   };
 
   stan::test::expect_ad(f, 5, 0.3);
diff --git a/test/unit/math/mix/fun/hypergeometric_pFq_test.cpp b/test/unit/math/mix/fun/hypergeometric_pFq_test.cpp
index ba498378459..c5e2b5bad4e 100644
--- a/test/unit/math/mix/fun/hypergeometric_pFq_test.cpp
+++ b/test/unit/math/mix/fun/hypergeometric_pFq_test.cpp
@@ -2,6 +2,9 @@
 #include <limits>
 
 TEST(mathMixScalFun, hyper_2f2) {
+  using stan::math::to_array_1d;
+  using stan::math::to_row_vector;
+
   auto f = [](const auto& a, const auto& b, const auto& z) {
     using stan::math::hypergeometric_pFq;
     return hypergeometric_pFq(a, b, z);
@@ -14,6 +17,9 @@ TEST(mathMixScalFun, hyper_2f2) {
   double z = 4;
 
   stan::test::expect_ad(f, in1, in2, z);
+  stan::test::expect_ad(f, to_array_1d(in1), to_row_vector(in2), z);
+  stan::test::expect_ad(f, to_row_vector(in1), to_array_1d(in2), z);
+  stan::test::expect_ad(f, to_array_1d(in1), to_array_1d(in2), z);
 }
 
 TEST(mathMixScalFun, hyper_2f3) {
diff --git a/test/unit/math/prim/fun/hypergeometric_1F0_test.cpp b/test/unit/math/prim/fun/hypergeometric_1F0_test.cpp
index 6edc38bb99d..ae935f32145 100644
--- a/test/unit/math/prim/fun/hypergeometric_1F0_test.cpp
+++ b/test/unit/math/prim/fun/hypergeometric_1F0_test.cpp
@@ -3,21 +3,21 @@
 #include <cmath>
 #include <limits>
 
-TEST(MathFunctions, hypergeometric_1f0Double) {
-  using stan::math::hypergeometric_1f0;
+TEST(MathFunctions, hypergeometric_1F0Double) {
+  using stan::math::hypergeometric_1F0;
   using stan::math::inv;
 
-  EXPECT_FLOAT_EQ(4.62962962963, hypergeometric_1f0(3, 0.4));
-  EXPECT_FLOAT_EQ(0.510204081633, hypergeometric_1f0(2, -0.4));
-  EXPECT_FLOAT_EQ(300.906354890, hypergeometric_1f0(16.0, 0.3));
-  EXPECT_FLOAT_EQ(0.531441, hypergeometric_1f0(-6.0, 0.1));
+  EXPECT_FLOAT_EQ(4.62962962963, hypergeometric_1F0(3, 0.4));
+  EXPECT_FLOAT_EQ(0.510204081633, hypergeometric_1F0(2, -0.4));
+  EXPECT_FLOAT_EQ(300.906354890, hypergeometric_1F0(16.0, 0.3));
+  EXPECT_FLOAT_EQ(0.531441, hypergeometric_1F0(-6.0, 0.1));
 }
 
-TEST(MathFunctions, hypergeometric_1f0_throw) {
-  using stan::math::hypergeometric_1f0;
+TEST(MathFunctions, hypergeometric_1F0_throw) {
+  using stan::math::hypergeometric_1F0;
 
-  EXPECT_THROW(hypergeometric_1f0(2.1, 1.0), std::domain_error);
-  EXPECT_THROW(hypergeometric_1f0(0.5, 1.5), std::domain_error);
-  EXPECT_THROW(hypergeometric_1f0(0.5, -1.0), std::domain_error);
-  EXPECT_THROW(hypergeometric_1f0(0.5, -1.5), std::domain_error);
+  EXPECT_THROW(hypergeometric_1F0(2.1, 1.0), std::domain_error);
+  EXPECT_THROW(hypergeometric_1F0(0.5, 1.5), std::domain_error);
+  EXPECT_THROW(hypergeometric_1F0(0.5, -1.0), std::domain_error);
+  EXPECT_THROW(hypergeometric_1F0(0.5, -1.5), std::domain_error);
 }
diff --git a/test/unit/math/prim/fun/hypergeometric_3F2_test.cpp b/test/unit/math/prim/fun/hypergeometric_3F2_test.cpp
index 2a2910165aa..1ca327223d5 100644
--- a/test/unit/math/prim/fun/hypergeometric_3F2_test.cpp
+++ b/test/unit/math/prim/fun/hypergeometric_3F2_test.cpp
@@ -3,8 +3,16 @@
 
 // converge
 TEST(MathPrimScalFun, F32_converges_by_z) {
-  EXPECT_NEAR(2.5,
-              stan::math::hypergeometric_3F2({1.0, 1.0, 1.0}, {1.0, 1.0}, 0.6),
+  using stan::math::hypergeometric_3F2;
+  using stan::math::to_row_vector;
+  using stan::math::to_vector;
+  std::vector<double> a = {1.0, 1.0, 1.0};
+  std::vector<double> b = {1.0, 1.0};
+  double z = 0.6;
+
+  EXPECT_NEAR(2.5, hypergeometric_3F2(a, b, z), 1e-8);
+  EXPECT_NEAR(2.5, hypergeometric_3F2(to_vector(a), to_vector(b), z), 1e-8);
+  EXPECT_NEAR(2.5, hypergeometric_3F2(to_row_vector(a), to_row_vector(b), z),
               1e-8);
 }
 // terminate by zero numerator, no sign-flip
diff --git a/test/unit/math/prim/fun/hypergeometric_pFq_test.cpp b/test/unit/math/prim/fun/hypergeometric_pFq_test.cpp
index e62c065932c..3e455991c0c 100644
--- a/test/unit/math/prim/fun/hypergeometric_pFq_test.cpp
+++ b/test/unit/math/prim/fun/hypergeometric_pFq_test.cpp
@@ -4,6 +4,8 @@
 TEST(MathFunctions, hypergeometric_pFq_values) {
   using Eigen::VectorXd;
   using stan::math::hypergeometric_pFq;
+  using stan::math::to_array_1d;
+  using stan::math::to_row_vector;
 
   VectorXd a(2);
   VectorXd b(2);
@@ -12,6 +14,10 @@ TEST(MathFunctions, hypergeometric_pFq_values) {
   double z = 2;
 
   EXPECT_FLOAT_EQ(3.8420514314107791, hypergeometric_pFq(a, b, z));
+  EXPECT_FLOAT_EQ(3.8420514314107791,
+                  hypergeometric_pFq(to_row_vector(a), to_row_vector(b), z));
+  EXPECT_FLOAT_EQ(3.8420514314107791,
+                  hypergeometric_pFq(to_array_1d(a), to_array_1d(b), z));
 
   a << 6, 4;
   b << 3, 1;