diff --git a/doc/quadrature.rst b/doc/quadrature.rst
index 95d406c878ab4b6431bcbeca90fbf345cefa1987..4200ff0d289d369c715700f7fc7e3aa323827b68 100644
--- a/doc/quadrature.rst
+++ b/doc/quadrature.rst
@@ -25,6 +25,10 @@ Jacobi-Gauss quadrature in one dimension
 
 .. autoclass:: LegendreGaussQuadrature
 
+.. autoclass:: ChebyshevGaussQuadrature
+
+.. autoclass:: GaussGegenbauerQuadrature
+
 .. currentmodule:: modepy.quadrature.jacobi_gauss
 
 .. autofunction:: jacobi_gauss_lobatto_nodes
diff --git a/modepy/__init__.py b/modepy/__init__.py
index 72ee4090515f5d39d4e1242b7782b8e84c55c250..02c72984288863a9337074634f3747fa63a72903 100644
--- a/modepy/__init__.py
+++ b/modepy/__init__.py
@@ -35,13 +35,16 @@ from modepy.matrices import (vandermonde,
         modal_face_mass_matrix, nodal_face_mass_matrix)
 from modepy.quadrature import Quadrature, QuadratureRuleUnavailable
 from modepy.quadrature.jacobi_gauss import (
-        JacobiGaussQuadrature, LegendreGaussQuadrature)
+        JacobiGaussQuadrature, LegendreGaussQuadrature, ChebyshevGaussQuadrature,
+        GaussGegenbauerQuadrature)
 from modepy.quadrature.xiao_gimbutas import XiaoGimbutasSimplexQuadrature
 from modepy.quadrature.vioreanu_rokhlin import VioreanuRokhlinSimplexQuadrature
 from modepy.quadrature.grundmann_moeller import GrundmannMoellerSimplexQuadrature
 
 from modepy.version import VERSION_TEXT as __version__  # noqa: N811
 
+GaussLegendreQuadrature = LegendreGaussQuadrature
+
 __all__ = [
         "__version__",
 
@@ -59,6 +62,7 @@ __all__ = [
 
         "Quadrature", "QuadratureRuleUnavailable",
         "JacobiGaussQuadrature", "LegendreGaussQuadrature",
+        "GaussLegendreQuadrature", "ChebyshevGaussQuadrature",
         "XiaoGimbutasSimplexQuadrature", "GrundmannMoellerSimplexQuadrature",
         "VioreanuRokhlinSimplexQuadrature",
         ]
diff --git a/modepy/quadrature/jacobi_gauss.py b/modepy/quadrature/jacobi_gauss.py
index ab268e14a826818d40b9b56e0c1e5aef1a78885a..4e7ac833e890a2d6a870e762f9c3cea263d0df50 100644
--- a/modepy/quadrature/jacobi_gauss.py
+++ b/modepy/quadrature/jacobi_gauss.py
@@ -126,12 +126,41 @@ class LegendreGaussQuadrature(JacobiGaussQuadrature):
 
     Inherits from :class:`modepy.Quadrature`. See there for the interface
     to obtain nodes and weights.
+
+    (NOTE: Gauss–Legendre quadrature is a special case of Gauss–Jacobi
+    quadrature with α = β = 0.)
     """
 
     def __init__(self, N):  # noqa
         JacobiGaussQuadrature.__init__(self, 0, 0, N)
 
 
+class ChebyshevGaussQuadrature(JacobiGaussQuadrature):
+    """Chebyshev-Gauss quadrature of the first/second kind are special cases
+    of Gauss–Jacobi quadrature with α = β = -0.5/0.5.
+
+    .. versionadded:: 2019.1
+    """
+
+    def __init__(self, N, kind=1):  # noqa
+        if kind == 1:
+            # FIXME: division by zero
+            JacobiGaussQuadrature.__init__(self, -0.5, -0.5, N)
+        elif kind == 2:
+            JacobiGaussQuadrature.__init__(self, 0.5, 0.5, N)
+
+
+class GaussGegenbauerQuadrature(JacobiGaussQuadrature):
+    """Gauss-Gegenbauer quadrature is a special case of Gauss–Jacobi quadrature
+    with α = β.
+
+    .. versionadded:: 2019.1
+    """
+
+    def __init__(self, alpha, N):  # noqa
+        JacobiGaussQuadrature.__init__(self, alpha, alpha, N)
+
+
 def jacobi_gauss_lobatto_nodes(alpha, beta, N):  # noqa
     """Compute the Gauss-Lobatto quadrature
     nodes corresponding to the :class:`JacobiGaussQuadrature`