Lν⁡(z)=-ⅈ⁢ⅇ-12⁢π⁢ⅈ⁢ν⁢Hν⁡(ⅈ⁢z)=(12⁢z)ν+1⁢∑n=0∞(12⁢z)2⁢nΓ⁡(n+32)⁢Γ⁡(n+ν+32).