Hν⁡(z)=2⁢(12⁢z)νπ⁢Γ⁡(ν+12)⁢∫01(1-t2)ν-12⁢sin⁡(z⁢t)⁢ⅆ⁡t=2⁢(12⁢z)νπ⁢Γ⁡(ν+12)⁢∫0π/2sin⁡(z⁢cos⁡θ)⁢(sin⁡θ)2⁢ν⁢ⅆ⁡θ,