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For any $f\in H(\mathbb{C})$, we say $f$ belongs to the Fock space $F_{\alpha}^{p}$ if $$\int_{\mathbb{C}}|f(z)|^{p}e^{-\frac{p\alpha}{2}|z|^{2}}dA(z)<\infty$$ Most papers and books I read trivially state that every complex polynomial is contained in $F_{\alpha}^{p}$. Can anybody show me why this...