On the Marx conjecture for the convex hulls of families of starlike and convex mappings
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- by David J. Hallenbeck PDF
- Proc. Amer. Math. Soc. 42 (1974), 135-139 Request permission
Abstract:
We prove a Marx conjecture for the closed convex hull of the family of functions which are starlike of order $\alpha$ and k-fold symmetric. We obtain precise results for the functions which are starlike, starlike of order $\tfrac {1}{2}$, and starlike with 2-fold symmetry in their power series expansions.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 135-139
- MSC: Primary 30A32
- DOI: https://doi.org/10.1090/S0002-9939-1974-0325947-0
- MathSciNet review: 0325947