Computing Stirling Numbers Using Four Different Methods
First Kind Stirling Numbers (Row) Given the rising factorial: [x^{\overline{n}}=\sum_{i=0}^n \begin{bmatrix}n\ i\end{bmatrix} x^i ] To compute this using a doubling approach, observe that (x^{\overline{2n}}=x^{\overline{n}}\cdot (x+n)^{\overline{n}}). The key challenge is computing (f(x+c)) given (f...