F23⁡(a,1-a,cd,2⁢c-d+1;1)=π⁢Γ⁡(d)⁢Γ⁡(2⁢c-d+1)⁢21-2⁢cΓ⁡(c+12⁢(a-d+1))⁢Γ⁡(c+1-12⁢(a+d))⁢Γ⁡(12⁢(a+d))⁢Γ⁡(12⁢(d-a+1)),