(z+ζz-ζ)12⁢ν⁢Hν(1)⁡((z2-ζ2)12)=1π⁢ⅈ⁢ⅇ-12⁢ν⁢π⁢ⅈ⁢∫-∞∞ⅇⅈ⁢z⁢cosh⁡t+ⅈ⁢ζ⁢sinh⁡t-ν⁢t⁢ⅆ⁡t,