# Need example of a complex valued function which is uniformly continuous.

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.

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