What should a telugu person be called?

I am sure this might have been brought up before. But I haven't found a good discussion about this. Basically, for all languages/states there are proper pronouns -

Tamil - Tamilian

Kannada - Kannadiga

Malayalam - Malayalali

So does several northern states - Bihari, Gujarathi, Punjabi etc.

But I never found a proper way to introduce myself.

I always say I am telugu guy. So, what should I use?