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The Phragmén-Lindelöf Principle
Published online by Cambridge University Press: 20 November 2018
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The theorem below is one version of the Phragmén-Lindelöf principle [4], which extends the maximum modulus theorem. The theorem has many applications, including the proof of a better-known but less general result [3], which is sometimes attributed to Phragmén and Lindelöf.
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- Research Article
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- Copyright
- Copyright © Canadian Mathematical Society 1981
References
1.
Conway, John B., Functions of One Complex Variable, 2nd Edition, Springer-Verlag, New York, 1978.Google Scholar
3.
Phragmén, E., Sur une extension d'un théorème classique de la théorie des fonctions, Acta Math., 28 (1962), 351-368.Google Scholar
4.
Phragmén, E. and Lindelôf, Ernst, Sur une extension d'un principe classique de l'analyse, Acta Math., 31 (1962), 381-406.Google Scholar
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