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Euclidean, hyperbolic and spherical Bloch constants
Author(s):
C. David
Minda
Journal:
Bull. Amer. Math. Soc.
6
(1982),
441-444.
MSC (1980):
Primary 30C25, 30C80
MathSciNet review:
648530
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References:
- 1.
- L. V. Ahlfors, An extension of Schwarz's lemma, Trans. Amer. Math. Soc. 43 (1938), 359-364. MR 1501949
- 2.
- L. V. Ahlfors and H. Grunsky, Über die Blochsche Konstante, Math. Z. 42 (1937), 671-673. MR 1545698
- 3.
- A. Bloch, Les théorème de M. Valiron sur les fonctions entières et la théorie de l'uniformisation, Ann. Fac. Sci. Toulouse Math. (5) 3 (1925), 1-22.
- 4.
- R. E. Greene and H. Wu, Bloch's theorem for meromorphic functions, Math. Z. 116 (1970), 247-257. MR 269884
- 5.
- V. Jorgensen, A remark on Bloch's theorem, Mat. Tidsskr. B 1952 (1952), 100-103. MR 56073
- 6.
- M. Heins, On a class of conformal metrics, Nagoya Math. J. 21 (1962), 1-60. MR 143901
- 7.
- E. Landau, Über die Blochsche Konstante und zwei verwandte Weltkonstanten, Math. Z. 30 (1929), 608-634. MR 1545082
- 8.
- C. D. Minda, Bloch constants, J. Analyse Math. (to appear). MR 687945
- 9.
- C. D. Minda, Bloch constants for meromorphic functions, Math. Z. (to appear). MR 671716
- 10.
- Ch. Pommerenke, Estimates for normal meromorphic functions, Ann. Acad. Sci. Fenn. Ser. A I Math. 476 (1970), 10 pp. MR 285710
- 11.
- Ch. Pommerenke, On Bloch functions, J. London Math. Soc. (2) 2 (1970), 689-695. MR 284574
- 12.
- M. Tsuji, On an extension of Bloch's theorem, Proc. Imp. Acad. Japan 18 (1942), 170-171. MR 15164
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Additional Information:
DOI:
10.1090/S0273-0979-1982-15010-8
PII:
S 0273-0979(1982)15010-8
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