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CompuChip

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Let

[tex]f(z) = \begin{cases} |z| & -1 \le \text{Im}(z)| \le 1 \\ 0 & \text{ otherwise} \end{cases}[/tex].

Why?

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lurflurf

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Log(1+x^2)

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CompuChip

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[tex]p(z) = \prod_{j = 1}^N (z - a_j - b_j i) [/tex]

with all the b

And you can even multiply that by any polynomial (as long as it doesn't cancel out all the singular points of p(z)) and get another one.

And you can let N go to infinity to get a Laurent series for some function.

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