f⁡(x)=1π⁢ⅈ⁢x⁢∫μ1-ⅈ⁢∞μ1+ⅈ⁢∞μ⁢g⁡(μ)⁢Γ⁡(12+μ-κ)⁢Wκ,μ⁡(x)⁢ⅆ⁡μ.