基本差分表

\[\bf \color{lime}{基本差分表} \\ \color{red}{ \begin{array}{|l|l|} \hline \bf f=\Sigma g & \bf g = \Delta f \\ \hline \bf x^{\underline 0}=1 & \bf 0 \\ \bf x^{\underline 1}=x & \bf 1 \\ \bf x^{\underline 2}=x(x-1) & \bf 2x \\ \bf x^{\underline m} & \bf mx^{\underline{m-1}} \\ \bf x^{\underline{m+1}}/(m+1) & \bf x^{\underline m} \\ \mit H_x & \bf x^{\underline{-1}}=1/(x+1) \\ \bf 2^x & \bf 2^x \\ \bf c^{x} & \bf (c-1)c^x \\ \bf c^x/(c-1) & \bf c^x \\ c\bf u & c\bf\Delta u \\ \bf u+v & \bf \Delta u + \Delta v\\ \bf uv & \bf u\Delta v + Ev\Delta u \\ \hline \end{array} } \]