Update specialfunctions.jl

Author: putianyi889

src/specialfunctions.jl

@@ -49,8 +49,8 @@ pochhammer(x::AbstractArray{T,1},n::Integer) where {T<:Number} = [pochhammer(x[i
 pochhammer(x::AbstractArray{T,2},n::Integer) where {T<:Number} = [pochhammer(x[i,j],n) for i=1:size(x,1),j=1:size(x,2)]
 pochhammer(x::AbstractArray{T},n::Integer) where {T<:Number} = reshape([ pochhammer(x[i],n) for i in eachindex(x) ], size(x))
 
-pochhammer(x::Number,n::Number) = isinteger(n) ? pochhammer(x,Int(n)) : newgamma(x+n)/newgamma(x)
-pochhammer(x::AbstractArray{T},n::Number) where {T<:Number} = isinteger(n) ? pochhammer(x,Int(n)) : newgamma.(x.+n)./newgamma.(x)
+pochhammer(x::Number,n::Number) = isinteger(n) ? pochhammer(x,Int(n)) : ogamma(x)/ogamma(x+n)
+pochhammer(x::AbstractArray{T},n::Number) where {T<:Number} = isinteger(n) ? pochhammer(x,Int(n)) : ogamma.(x)./newgamma.(x.+n)
 
 function pochhammer(x::Number,n::UnitRange{T}) where T<:Real
     ret = Vector{promote_type(typeof(x),T)}(length(n))
@@ -61,11 +61,11 @@ function pochhammer(x::Number,n::UnitRange{T}) where T<:Real
     ret
 end
 
-function newgamma(x::Number)
+function ogamma(x::Number)
     if isinteger(x) && x<0
-        Inf
+        0.0
     else
-        gamma(x)
+        1.0/gamma(x)
     end
 end