∫0xtα⁢Lm(α)⁡(t)Lm(α)⁡(0)⁢(x-t)β⁢Ln(β)⁡(x-t)Ln(β)⁡(0)⁢ⅆ⁡t=Γ⁡(α+1)⁢Γ⁡(β+1)Γ⁡(α+β+2)⁢xα+β+1⁢Lm+n(α+β+1)⁡(x)Lm+n(α+β+1)⁡(0).