(z+ζz-ζ)12⁢ν⁢Hν(2)⁡((z2-ζ2)12)=-1π⁢ⅈ⁢ⅇ12⁢ν⁢π⁢ⅈ⁢∫-∞∞ⅇ-ⅈ⁢z⁢cosh⁡t-ⅈ⁢ζ⁢sinh⁡t-ν⁢t⁢ⅆ⁡t,