Denjoy–Carleman–Ahlfors theorem
id:
denjoy-carleman-ahlfors-theorem-196-789405
title:
Denjoy–Carleman–Ahlfors theorem
text:
The Denjoy–Carleman–Ahlfors theorem states that the number of asymptotic values attained by a non-constant entire function of order ρ on curves going outwards toward infinite absolute value is less than or equal to 2ρ. It was first conjectured by Arnaud Denjoy in 1907.
Torsten Carleman showed that the number of asymptotic values was less than or equal to (5/2)ρ in 1921.
In 1929 Lars Ahlfors confirmed Denjoy's conjecture of 2ρ.
Finally, in 1933, Carleman published a very short proof. The use of t
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https://en.wikipedia.org/wiki/Denjoy%E2%80%93Carleman%E2%80%93Ahlfors_theorem
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2015-01-23T14:43:10Z
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{"identifier":"Q17097849","url":"https://www.wikidata.org/entity/Q17097849"}
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