Entire Function
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Show that if an entire function f maps the real axis into itself and the imaginary axis
into itself, then f is an odd function, i.e., f(−z) = −f(z) for any z.
Give two proofs, which are really different.
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Solution Summary
The solution shows that if an entire function f maps the real axis into itself and the imaginary axis into itself then f is an odd function.
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