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The simple-zero conjecture for support points in $\Sigma$
Author(s):
Y. J.
Leung;
G.
Schober
Journal:
Bull. Amer. Math. Soc.
19
(1988),
439-440.
MSC (1985):
Primary 30C75
MathSciNet review:
956597
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References |
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References:
- 1.
- Y. Abu-Muhanna and Y. J. Leung, On analytic slit mappings in the class ∑, Proc. Amer. Math. Soc. 99 (1987), 44-48. MR 866427
- 2.
- E. Bombieri, On the local maximum property of the Koebe function, Invent. Math. 4 (1967), 26-67. MR 218549
- 3.
- A. Chang, M. M. Schiffer, and G. Schober, On the second variation for univalent functions, J. Analyse Math. 40 (1981), 203-238. MR 659792
- 4.
- P. R. Garabedian and M. Schiffer, A coefficient inequality for schlicht functions, Ann. of Math. (2) 61 (1955), 116-136. MR 66457
- 5.
- W. E. Kirwan and G. Schober, New inequalities from old ones, Math. Z. 180 (1982), 19-40. MR 656220
- 6.
- Y. J. Leung and G. Schober, Low order coefficient estimates in the class ∑, Ann. Acad. Sci. Fenn. Ser. AI Math. 11 (1986), 36-61. MR 826348
- 7.
- Y. J. Leung and G. Schober, On the structure of support points in the class ∑, J. Analyse Math. 46 (1986), 176-193. MR 861698
- 8.
- Y. J. Leung and G. Schober, The simple-zero theorem for support points in ∑, Proc. Amer. Math. Soc. (to appear). MR 948155
- 9.
- G. Schober, Univalent functions-Selected topics, Lecture Notes in Math., vol. 478, Springer-Verlag, Berlin and New York, 1975. MR 507770
- 10.
- G. Schober, Some conjectures for the class ∑, Topics in Complex Analysis, Contemp. Math., vol. 38, Amer. Math. Soc. Providence, R. I., 1985, pp. 13-21. MR 789441
- 11.
- K. Strebel, Quadratic differentials, Springer-Verlag, Berlin and New York, 1984. MR 743423
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15690-X
PII:
S 0273-0979(1988)15690-X
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