I am a physicist, and I found the claim that "entire functions do not have poles at finite $z$." Can somebody who is more versed than me in complex analysis tell me whether it is true or not?
2026-03-25 06:00:27.1774418427
Can entire functions have simple poles?
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"Entire functions do not have poles at finite z"
The definition of an entire function implies that.
So the answer: It's true