Remove dupe digamma, fix docstrings

Author: kshyatt

base/docs/helpdb/Base.jl

@@ -9,13 +9,6 @@ Raises a `SystemError` for `errno` with the descriptive string `sysfunc` if `ift
 """
 systemerror
 
-"""
-    digamma(x)
-
-Compute the digamma function of `x` (the logarithmic derivative of `gamma(x)`)
-"""
-digamma
-
 """
     fill!(A, x)
 

base/special/trig.jl

@@ -319,14 +319,20 @@ for (finv, f) in ((:sec, :cos), (:csc, :sin), (:cot, :tan),
     end
 end
 
-for (fa, fainv, fn) in ((:asec, :acos, "secant"), (:acsc, :asin, "cosecant"), (:acot, :atan, "cotangent"),
-                        (:asech, :acosh, "hyperbolic secant"), (:acsch, :asinh, "hyperbolic cosecant"), (:acoth, :atanh, "hyperbolic cotangent"))
-    name = string(fa)
+for (tfa, tfainv, hfa, hfainv, fn) in ((:asec, :acos, :asech, :acosh, "secant"),
+                                       (:acsc, :asin, :acsch, :asinh, "cosecant"),
+                                       (:acot, :atan, :acoth, :atahn, "cotangent"))
+    tname = string(tfa)
+    hname = string(hfa)
     @eval begin
         @doc """
-            $($name)(x)
-        Compute the $($fn) of `x`, where the output is in radians. """ ($fa){T<:Number}(y::T) = ($fainv)(one(T) / y)
-        ($fa){T<:Number}(y::AbstractArray{T}) = ($fainv)(one(T) ./ y)
+            $($tname)(x)
+        Compute the inverse $($fn) of `x`, where the output is in radians. """ ($tfa){T<:Number}(y::T) = ($tfainv)(one(T) / y)
+        ($tfa){T<:Number}(y::AbstractArray{T}) = ($tfainv)(one(T) ./ y)
+        @doc """
+            $($hname)(x)
+        Compute the inverse hyperbolic $($fn) of `x`. """ ($hfa){T<:Number}(y::T) = ($hfainv)(one(T) / y)
+        ($hfa){T<:Number}(y::AbstractArray{T}) = ($hfainv)(one(T) ./ y)
     end
 end
 

doc/stdlib/math.rst

@@ -664,7 +664,7 @@ Mathematical Functions
 
    .. Docstring generated from Julia source
 
-   Compute the inverse cosecant of ``x``\ , where the output is in radians
+   Compute the inverse cosecant of ``x``\ , where the output is in radians.
 
 .. function:: acot(x)