BarnesDoubleGamma.jl documentation

This is the documentation page for the BarnesDoubleGamma package. BarnesDoubleGamma is a julia package for computing Barnes' double gamma functions, see this wikipedia article for a reference. The package works with real and complex numbers, in standard and multiple precision:

julia> β = 0.74; w = 1.42; doublegamma(w, β) ≈ 1.330272154435545
true

julia> w = big(w); doublegamma(w, β) ≈ 1.330272154422092394938807374719727965657364472505115527465224747340970511072316
true

julia> w += big"0.1"*im; doublegamma(w, β) ≈ 1.320088253471064630736078956865882843925682644428785275208996772003089457017443 + 0.1236629786396930558290716646529048849169199735177974299246859233300114349665599im
true

As a by-product, the package also exports gamma and polygamma functions that work with real and complex numbers in arbitrary precision, see Gamma and polygamma functions.

Contents

• Installation
• Gamma and polygamma functions
• Barnes double gamma functions