On a conjecture of M. S. Robertson
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- by Abdallah Lyzzaik PDF
- Proc. Amer. Math. Soc. 91 (1984), 108-110 Request permission
Abstract:
We prove that two classes of univalent functions are equal. This settles a conjecture of M. S. Robertson in the affirmative.References
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- Christian Pommerenke, Univalent functions, Studia Mathematica/Mathematische Lehrbücher, Band XXV, Vandenhoeck & Ruprecht, Göttingen, 1975. With a chapter on quadratic differentials by Gerd Jensen. MR 0507768
- M. S. Robertson, Univalent functions starlike with respect to a boundary point, J. Math. Anal. Appl. 81 (1981), no. 2, 327–345. MR 622822, DOI 10.1016/0022-247X(81)90067-6
- David Styer, On weakly starlike multivalent functions, J. Analyse Math. 26 (1973), 217–233. MR 328053, DOI 10.1007/BF02790430
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 108-110
- MSC: Primary 30C45
- DOI: https://doi.org/10.1090/S0002-9939-1984-0735575-7
- MathSciNet review: 735575