Univalent function: Difference between revisions

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Examples: Spelling out the example a slight bit more for those rusty on definitions -- an example is pedagogical, and people don't read through this page unless they have to learn something
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== Examples==
The function <math>f \colon z \mapsto 2z + z^2</math> is univalent in the open unit disc, as <math>f(z) = f(w)</math> implies that <math>f(z) - f(w) = (z-w)(z+w+2) = 0</math>. As the second factor is non-zero in the open unit disc, <math>fz = w</math> mustso <math>f</math> beis injective.
 
==Basic properties==