Some small tweaks to the doc.

src/sage/functions/error.py

@@ -28,15 +28,12 @@
 """
 
 #*****************************************************************************
-#  Distributed under the terms of the GNU General Public License (GPL)
-#
-#    This code is distributed in the hope that it will be useful,
-#    but WITHOUT ANY WARRANTY; without even the implied warranty of
-#    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
-#    General Public License for more details.
-#
-#  The full text of the GPL is available at:
+#       Copyright (C) 2016 Ralf Stephan <gtrwst9 at gmail.com>
 #
+# This program is free software: you can redistribute it and/or modify
+# it under the terms of the GNU General Public License as published by
+# the Free Software Foundation, either version 2 of the License, or
+# (at your option) any later version.
 #                  http://www.gnu.org/licenses/
 #*****************************************************************************
 
@@ -50,14 +47,17 @@
 
 class Function_erf(BuiltinFunction):
     r"""
-    The error function, defined for real values as
+    The error function.
+
+    The error function is defined for real values as
 
-    `\operatorname{erf}(x) = \frac{2}{\sqrt{\pi}} \int_0^x e^{-t^2} dt`.
+    .. MATH::
+
+        \operatorname{erf}(x) = \frac{2}{\sqrt{\pi}} \int_0^x e^{-t^2} dt.
 
     This function is also defined for complex values, via analytic
     continuation.
 
-
     EXAMPLES:
 
     We can evaluate numerically::
@@ -86,7 +86,7 @@ class Function_erf(BuiltinFunction):
 
     REFERENCES:
 
-    - http://en.wikipedia.org/wiki/Error_function
+    - :wikipedia:`Error_function`
     - http://mpmath.googlecode.com/svn/trunk/doc/build/functions/expintegrals.html#error-functions
 
     TESTS:
@@ -264,7 +264,7 @@ def _evalf_(self, x, parent=None, algorithm=None):
 
     def _derivative_(self, x, diff_param=None):
         """
-        Derivative of erf function
+        Derivative of erf function.
 
         EXAMPLES::
 
@@ -287,10 +287,18 @@ def _derivative_(self, x, diff_param=None):
 erf = Function_erf()
 
 class Function_erfi(BuiltinFunction):
+    """
+    The imaginary error function.
+
+    The imaginary error function is defined by
+
+    .. MATH::
+
+        \operatorname{erfi}(x) = -i \operatorname{erf}(ix).
+    """
     def __init__(self):
         r"""
-        The imaginary error function
-        `\operatorname{erfi}(x)=-i\operatorname{erf}(ix)`.
+        Initialize ``self``.
 
         EXAMPLES::
 
@@ -357,8 +365,13 @@ def _derivative_(self, x, diff_param=None):
 
 class Function_erfc(BuiltinFunction):
     r"""
-    The complementary error function
-    `\frac{2}{\sqrt{\pi}}\int_t^\infty e^{-x^2} dx`.
+    The complementary error function.
+
+    The complementary error function is defined by
+
+    .. MATH::
+
+        \frac{2}{\sqrt{\pi}} \int_t^\infty e^{-x^2} dx.
     
     EXAMPLES::
 
@@ -445,10 +458,18 @@ def _derivative_(self, x, diff_param=None):
 
 
 class Function_erfinv(BuiltinFunction):
+    """
+    The inverse error function.
+
+    The inverse error function is defined by:
+
+    .. MATH::
+
+        \operatorname{erfinv}(x) = \operatorname{erf}^{-1}(x).
+    """
     def __init__(self):
         r"""
-        The inverse error function
-        `\operatorname{erfinv}(x)=\operatorname{erf}^{-1}(x)`.
+        Initialize ``self``.
 
         EXAMPLES::
 
@@ -460,7 +481,7 @@ def __init__(self):
         BuiltinFunction.__init__(self, "erfinv",
                                  latex_name=r"\operatorname{erfinv}",
                                  conversions=dict(sympy='erfinv',
-                                     maxima='inverse_erf'))
+                                                  maxima='inverse_erf'))
 
     def _eval_(self, x):
         """
@@ -498,7 +519,7 @@ def _evalf_(self, x, parent=None, algorithm=None):
 
     def _derivative_(self, x, diff_param=None):
         """
-        Derivative of inverse erf function
+        Derivative of inverse erf function.
 
         EXAMPLES::
 
@@ -511,3 +532,4 @@ def _derivative_(self, x, diff_param=None):
 
 from sage.structure.sage_object import register_unpickle_override
 register_unpickle_override('sage.functions.other', 'Function_erf', Function_erf)
+

src/sage/functions/special.py

@@ -1015,7 +1015,7 @@ def _print_latex_(self, n, z, m):
 
 def error_fcn(x):
     """
-    Deprecated. Please use erfc().
+    Deprecated in :trac:21819`. Please use ``erfc()``.
 
     EXAMPLES::
 
@@ -1030,3 +1030,4 @@ def error_fcn(x):
     from sage.misc.superseded import deprecation
     deprecation(21819, "error_fcn() is deprecated. Please use erfc()")
     return erfc(x)
+