On a class of close-to-convex functions
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- by H. Silverman PDF
- Proc. Amer. Math. Soc. 36 (1972), 477-484 Request permission
Abstract:
We look at functions $f(z)$ for which there correspond functions $\phi (z)$ convex of order $\alpha$ such that $\operatorname {Re} \{ fâ(z)/\phi â(z)\} \geqq \beta$. We examine the influence of the second coefficient of $\phi (z)$ on this class. In particular, distortion, covering, and radius of convexity theorems are proved.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 36 (1972), 477-484
- MSC: Primary 30A32
- DOI: https://doi.org/10.1090/S0002-9939-1972-0313494-X
- MathSciNet review: 0313494