A Phragmén-Lindelöf theorem conjectured by D. J. Newman
Author: W. H. J. Fuchs
Journal: Trans. Amer. Math. Soc. 267 (1981), 285-293
MSC: Primary 30C80
MathSciNet review: 621988
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Abstract: Let be a region of the complex plane, . If is holomorphic in , write .
Theorem 1. If is holomorphic in and for , , then one of the following holds (a) , (b) has a pole at , (c) as . If , then (a) must hold.
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