${\tilde{p}}_{0} (x)$	$\sqrt{\frac{(2 s + 1) (p (s))}{d_{0}^{2}}}$
${\tilde{p}}_{1} (x)$	$\frac{p_{1} (s) - p (s - 1)}{x (s + \frac{1}{2}) - x (s - \frac{1}{2})} \frac{1}{p (s)} * \sqrt{\frac{e^{- μ} μ^{x + 1}}{x!}}$
$A_{n}$	$\frac{n (α + β + n)}{(α + β + 2 n - 1) (α + β + 2 n)}$
$B_{n}$	$\begin{array}{l} x - \frac{a^{2} + b^{2} + {(a - β)}^{2} {(b + α)}^{2} - 2 (α + β + 2 n - 2) (α + β - 2)}{4} \\ + \frac{(α + β + 2 n - 2) - (α + β + 2 n)}{8} - \frac{(β^{2} - α^{2}) [{(b + \frac{α}{2})}^{2} - {(a - β / 2)}^{2}]}{2 (α + β + 2 n - 2) (α + β + 2 n)} \end{array}$
$C_{n}$	$\begin{array}{l} - \frac{(α + n - 1) (β + n - 1)}{(α + β + 2 n - 2) (α + β + 2 n)} * [{(a + b + \frac{α - β}{2})}^{2} {(n - 1 + \frac{α + β}{2})}^{2}] \\ * [{(b + a + \frac{α + β}{2})}^{2} {(n - 1 + \frac{α + β}{2})}^{2}] \end{array}$
$d_{n}$	$\frac{Γ (α + n + 1) Γ (β + n + 1) Γ (b - a + α + β + n + 1) Γ (a + b + α + n + 1)}{(α + β + 2 n + 1) n! (b - a - n - 1) Γ (α + β + n + 1) Γ (a + b - β - n)}$
$ρ_{n} (s)$	$\frac{Γ (α + s + n + 1) Γ (s - a + β + n + 1) Γ (N + α - s) Γ (N + α + s + n + 1)}{Γ (a - β + s + 1) Γ (s - a + 1) Γ (N - s - n) Γ (N + s + 1)}$