Boundary behavior of starlike functions
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- by P. J. Eenigenburg PDF
- Proc. Amer. Math. Soc. 33 (1972), 428-432 Request permission
Abstract:
For a starlike function f, we impose a geometric condition on the image of the open unit disc by the mapping $w = zf’(z)/f(z)$ to insure that f be one-to-one on the closed unit disc. Applications are given to certain classes of univalent functions, including spiral-like functions.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 428-432
- MSC: Primary 30A72
- DOI: https://doi.org/10.1090/S0002-9939-1972-0293098-8
- MathSciNet review: 0293098