∫01(1-x2)λ-12⁢Cn(λ)⁡(x)⁢xz-1⁢ⅆ⁡x=π⁢ 21-2⁢λ-z⁢Γ⁡(n+2⁢λ)⁢Γ⁡(z)n!⁢Γ⁡(λ)⁢Γ⁡(12+12⁢n+λ+12⁢z)⁢Γ⁡(12+12⁢z-12⁢n),