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Complex Numbers
07-04-2016, 05:33 PM
Post: #1
Complex Numbers
Suppose that$\,\;z,\,w\in\mathbb{C},\;|z|\le 1\ge |w|,\;z\bar{w}\ne 1.\;$
Prove that $\left|\dfrac{z-w}{1-\bar{z}w}\right|\le 1$ and determine when equality holds.
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Complex Numbers - elim - 07-04-2016 05:33 PM
Sol. - elim - 07-04-2016, 05:48 PM

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