Mahler's Theorem

$(x)\_k=x(x-1)(x-2)\backslash cdots(x-k+1).$

$(\backslash Delta\; f)(x)=f(x+1)-f(x).$

$\backslash Delta(x)\_n=n(x)\_\{n-1\}$

$f(x)=\backslash sum\_\{k=0\}^\backslash infty\backslash frac\{(\backslash Delta^k\; f)(0)\}\{k!\}(x)\_k.$

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