A generalization of the Ahlfors-Heins theorem
Author:
Matts Essén
Journal:
Bull. Amer. Math. Soc. 75 (1969), 127-131
DOI:
https://doi.org/10.1090/S0002-9904-1969-12173-7
MathSciNet review:
0232953
Full-text PDF Free Access
References | Additional Information
- 1. Lars Ahlfors and Maurice Heins, Questions of regularity connected with the Phragmén-Lindelöf principle, Ann. of Math. (2) 50 (1949), 341–346. MR 28943, https://doi.org/10.2307/1969459
- 2. Ralph Philip Boas Jr., Entire functions, Academic Press Inc., New York, 1954. MR 0068627
- 3. J. L. Doob, A non-probabilistic proof of the relative Fatou theorem, Ann. Inst. Fourier. Grenoble 9 (1959), 293–300. MR 0117454
- 4. Matts Essén, Note on “A theorem on the minimum modulus of entire functions” by Kjellberg, Math. Scand. 12 (1963), 12–14. MR 159943
- 5. Maurice Heins, Selected topics in the classical theory of functions of a complex variable, Athena Series: Selected Topics in Mathematics, Holt, Rinehart and Winston, New York, 1962. MR 0162913
- 6. Bo Kjellberg, A theorem on the minimum modulus of entire functions, Math. Scand. 12 (1963), 5–11. MR 159942, https://doi.org/10.7146/math.scand.a-10666
- 7. David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, v. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923
Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1969-12173-7