Please suggest me an example of a complex valued function which is uniformly continuous.

I searched a lot on internet and my text books.I've got several examples which a non-uniformly continuous complex valued function but not the desired result.

  • $\begingroup$ $f(z) = z$ works. $\endgroup$ – platty Aug 17 '17 at 18:57
  • $\begingroup$ How's about a constant function? $\endgroup$ – Xander Henderson Aug 17 '17 at 18:59
  • $\begingroup$ @XanderHenderson:except the constant function and the inclusion map. $\endgroup$ – Picaso Aug 17 '17 at 19:00
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    $\begingroup$ Any real function that is u.c. is an example. $\endgroup$ – zhw. Aug 17 '17 at 19:25

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