Why are entire functions called entire?

Is it because they are holomorphic over the "entire" complex plane?

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    $\begingroup$ I believe so, yes. $\endgroup$ – John Hughes Dec 14 '16 at 20:40
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    $\begingroup$ I don't know how much it weights on this, but according to wikipedia, "holomorphy" is a translation in Greek of "entire form". $\endgroup$ – user228113 Dec 14 '16 at 20:45
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    $\begingroup$ Remmert doesn't have anything to say about the name other than that it was given by Weierstrass (at least, I didn't see anything mentioned). $\endgroup$ – pjs36 Dec 14 '16 at 20:52

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