Hν(1)⁡(z)=-ⅇ-12⁢ν⁢π⁢ⅈ2⁢π2⁢∫c-ⅈ⁢∞c+ⅈ⁢∞Γ⁡(t)⁢Γ⁡(t-ν)⁢(-12⁢ⅈ⁢z)ν-2⁢t⁢ⅆ⁡t,