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I have found several polynomial some approximations to the Normal CDF$^{(1)}$, but my question is: are there good polynomial approximations to the Normal PDF?

Thanks

$^{(1)}$ For example, some are given in this paper.

UPDATE

To clarify my question taking advantage of the comments, I am looking for a polynomial of degree $n$, $P_n(x)$ such that, if $F(x)$ is the CDF of the standard Normal, then $F(x) \approx P_n(x)$ for $x$ in a suitable range, say $[-3,3]$.

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    You might want to look into Chebyshev economization, or minimax polynomials...2012-08-15

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