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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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What is the identity of this shift operator-like infinite series?
I just ran across the following expression and would like to know if anyone can identify it:
$\sum\limits_{n=1}^\infty \frac{(-1)^n}{n!}\frac{d^n f(x)}{dx^n}\frac{d^n g(y)}{dy^n}$.
It almost looks l …