On a coefficient inequality for starlike functions
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- by Roger W. Barnard PDF
- Proc. Amer. Math. Soc. 47 (1975), 429-430 Request permission
Abstract:
M. S. Robertson considered a coefficient inequality $I$ for starlike functions that, if true, would imply a generalized Bieberbach coefficient inequality $B$ for close to convex functions. An example is given of a starlike function whose coefficients do not satisfy coefficient inequality $I$.References
- James A. Jenkins, On an inequality considered by Robertson, Proc. Amer. Math. Soc. 19 (1968), 549–550. MR 224802, DOI 10.1090/S0002-9939-1968-0224802-1
- M. S. Robertson, A generalization of the Bieberbach coefficient problem for univalent functions, Michigan Math. J. 13 (1966), 185–192. MR 192042
- M. S. Robertson, Quasi-subordination and coefficient conjectures, Bull. Amer. Math. Soc. 76 (1970), 1–9. MR 251210, DOI 10.1090/S0002-9904-1970-12356-4
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 429-430
- DOI: https://doi.org/10.1090/S0002-9939-1975-0352437-2
- MathSciNet review: 0352437