Kν⁡(z)=12⁢π2⁢ⅈ⁢(π2⁢z)12⁢ⅇ-z⁢cos⁡(ν⁢π)⁢∫-ⅈ⁢∞ⅈ⁢∞Γ⁡(t)⁢Γ⁡(12-t-ν)⁢Γ⁡(12-t+ν)⁢(2⁢z)t⁢ⅆ⁡t,