∫0∞ⅇ-t⁢t12⁢ν⁢M⁡(a,b,t)⁢Jν⁡(2⁢x⁢t)⁢ⅆ⁡t=x12⁢ν⁢ⅇ-xΓ⁡(b-a)⁢U⁡(a,a-b+ν+2,x),