∫0∞ⅇ-14⁢t2⁢tμ-1⁢U⁡(a,t)⁢ⅆ⁡t=π⁢2-12⁢(μ+a+12)⁢Γ⁡(μ)Γ⁡(12⁢(μ+a+32)),