(z+ζz-ζ)12⁢ν⁢Jν⁡((z2-ζ2)12)=1π⁢∫0πⅇζ⁢cos⁡θ⁢cos⁡(z⁢sin⁡θ-ν⁢θ)⁢ⅆ⁡θ-sin⁡(ν⁢π)π⁢∫0∞ⅇ-ζ⁢cosh⁡t-z⁢sinh⁡t-ν⁢t⁢ⅆ⁡t,