If
$$D=\frac{d}{dx}$$ then we have
$$\exp(D)f(x)=f(x+1)$$
What does it mean? Is there any intuition behind it?
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2See this. – Matemáticos Chibchas Sep 12 '13 at 23:33
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3Ah! Of course! It is just expanding $f(x+1)$ as a power series centered at $f(x)$. Nice – gota Sep 12 '13 at 23:37
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See my answer. – Mhenni Benghorbal Sep 13 '13 at 06:58