Bessel Polynomials - Particular Values

Particular Values

$\begin{align} y_0(x) & = 1 \\ y_1(x) & = x + 1 \\ y_2(x) & = 3x^2+ 3x + 1 \\ y_3(x) & = 15x^3+ 15x^2+ 6x + 1 \\ y_4(x) & = 105x^4+105x^3+ 45x^2+ 10x + 1 \\ y_5(x) & = 945x^5+945x^4+420x^3+105x^2+15x+1 \end{align}$

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