∫-11(1-x)z-1⁢(1+x)β⁢Pn(α,β)⁡(x)⁢ⅆ⁡x=2β+z⁢Γ⁡(z)⁢Γ⁡(1+β+n)⁢(1+α-z)nn!⁢Γ⁡(1+β+z+n),