Asymptotic properties of subharmonic and analytic functions
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References
- Lars V. Ahlfors, On Phragmén-Lindelöf’s principle, Trans. Amer. Math. Soc. 41 (1937), no. 1, 1–8. MR 1501888, DOI 10.1090/S0002-9947-1937-1501888-X
- Lars Ahlfors and Maurice Heins, Questions of regularity connected with the Phragmén-Lindelöf principle, Ann. of Math. (2) 50 (1949), 341–346. MR 28943, DOI 10.2307/1969459
- R. P. Boas Jr., Asymptotic properties of functions of exponential type, Duke Math. J. 20 (1953), 433–448. MR 59365
- Maurice Heins, On the Phragmén-Lindelöf principle, Trans. Amer. Math. Soc. 60 (1946), 238–244. MR 19117, DOI 10.1090/S0002-9947-1946-0019117-0
- Maurice Heins, On some theorems associated with the Phragmén-Lindelöf principle, Ann. Acad. Sci. Fennicae Ser. A. I. Math.-Phys. 1948 (1948), no. 46, 10. MR 25638
- Jacqueline Lelong-Ferrand, Étude au voisinage de la frontière des fonctions subharmoniques positives dans un demi-espace, Ann. Sci. École Norm. Sup. (3) 66 (1949), 125–159 (French). MR 0031603, DOI 10.24033/asens.968
- Norman Levinson, An integral inequality of the Phragmén Lindelöf type, J. Math. Phys. Mass. Inst. Tech. 20 (1941), 89–98. MR 3209, DOI 10.1002/sapm194120189 F. and R. Nevanlinna, Über die Eigenshaften analytischer Funktionen in der Umgebung einer singlären Stelle oder Linie, Acta Soc. Sci. Fenn. vol. 50, no. 5 (1922). F. Riesz, Sur les fonctions subharmoniques et leur rapport à la théorie du potential, Acta Math. vol. 48 (1926) pp. 329-343 and vol. 54 (1930) pp. 321-360. E. C. Titchmarsh, The theory of functions, Oxford, 1932.
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 9 (1958), 763-772
- MSC: Primary 31.00; Secondary 30.00
- DOI: https://doi.org/10.1090/S0002-9939-1958-0096048-5
- MathSciNet review: 0096048