Formula_21277

\[\hat{P}_{n}(x ; \alpha, \beta)=\sqrt{\frac{n !(\alpha+\beta+2 n+1) \Gamma(\alpha+\beta+n+1)}{2^{\alpha+\beta+1} \Gamma(\alpha+n+1) \Gamma(\beta+n+1)}} P_{n}(x ; \alpha, \beta) .\]