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The simple-zero conjecture for support points in $\Sigma$
Authors:
Y. J. Leung and G. Schober
Journal:
Bull. Amer. Math. Soc. 19 (1988), 439-440
MSC (1985):
Primary 30C75
MathSciNet review:
956597
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Yusuf
Abu-Muhanna and Y.
J. Leung, On analytic slit mappings in the class
Σ, Proc. Amer. Math. Soc.
99 (1987), no. 1,
44–48. MR
866427 (87m:30034), http://dx.doi.org/10.1090/S0002-9939-1987-0866427-2
- 2.
Enrico
Bombieri, On the local maximum property of the Koebe function,
Invent. Math. 4 (1967), 26–67. MR 0218549
(36 #1635)
- 3.
A.
Chang, M.
M. Schiffer, and G.
Schober, On the second variation for univalent functions, J.
Analyse Math. 40 (1981), 203–238 (1982). MR 659792
(84b:30022), http://dx.doi.org/10.1007/BF02790163
- 4.
P.
R. Garabedian and M.
Schiffer, A coefficient inequality for schlicht functions,
Ann. of Math. (2) 61 (1955), 116–136. MR 0066457
(16,579c)
- 5.
William
E. Kirwan and Glenn
Schober, New inequalities from old ones, Math. Z.
180 (1982), no. 1, 19–40. MR 656220
(84f:30032), http://dx.doi.org/10.1007/BF01214997
- 6.
Y.
J. Leung and G.
Schober, Low order coefficient estimates in the class Σ,
Ann. Acad. Sci. Fenn. Ser. A I Math. 11 (1986),
no. 1, 39–61. MR 826348
(87g:30017)
- 7.
Y.
J. Leung and G.
Schober, On the structure of support points in the class
Σ, J. Analyse Math. 46 (1986), 176–193.
MR 861698
(87j:30056), http://dx.doi.org/10.1007/BF02796584
- 8.
Y.
J. Leung and G.
Schober, The simple-zero theorem for support
points in Σ, Proc. Amer. Math. Soc.
105 (1989), no. 3,
603–608. MR
948155 (89m:30049), http://dx.doi.org/10.1090/S0002-9939-1989-0948155-X
- 9.
Glenn
Schober, Univalent functions—selected topics, Lecture
Notes in Mathematics, Vol. 478, Springer-Verlag, Berlin, 1975. MR 0507770
(58 #22527)
- 10.
Glenn
Schober, Some conjectures for the class Σ, Topics in
complex analysis (Fairfield, Conn., 1983) Contemp. Math., vol. 38,
Amer. Math. Soc., Providence, RI, 1985, pp. 13–21. MR
789441, http://dx.doi.org/10.1090/conm/038/02
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Kurt
Strebel, Quadratic differentials, Ergebnisse der Mathematik
und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)],
vol. 5, Springer-Verlag, Berlin, 1984. MR 743423
(86a:30072)
- 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:
http://dx.doi.org/10.1090/S0273-0979-1988-15690-X
PII:
S 0273-0979(1988)15690-X
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