\[h_{n}=\frac{{\left(-\beta\right)_{N}}{\left(\gamma+\delta+2\right)_{N}}}{{%
\left(-\beta+\gamma+1\right)_{N}}{\left(\delta+1\right)_{N}}}\frac{{\left(n+%
\alpha+\beta+1\right)_{n}}n!}{{\left(\alpha+\beta+2\right)_{2n}}}\*\frac{{%
\left(\alpha+\beta-\gamma+1\right)_{n}}{\left(\alpha-\delta+1\right)_{n}}{%
\left(\beta+1\right)_{n}}}{{\left(\alpha+1\right)_{n}}{\left(\beta+\delta+1%
\right)_{n}}{\left(\gamma+1\right)_{n}}}.\]