More on convex functions of bounded type
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- by A. W. Goodman
- Proc. Amer. Math. Soc. 97 (1986), 303-306
- DOI: https://doi.org/10.1090/S0002-9939-1986-0835886-2
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Abstract:
A normalized univalent function is convex of bounded type if the curvature of the curve bounding the image domain lies between two fixed positive numbers. In this work we find sharp bounds for the modulus of the function and its derivative. We also discuss the coefficient problem for this new class of functions.References
- A. W. Goodman, Univalent functions. Vol. I, Mariner Publishing Co., Inc., Tampa, FL, 1983. MR 704183
- A. W. Goodman, Convex functions of bounded type, Proc. Amer. Math. Soc. 92 (1984), no. 4, 541–546. MR 760942, DOI 10.1090/S0002-9939-1984-0760942-5
- A. W. Goodman, Convex curves of bounded type, Internat. J. Math. Math. Sci. 8 (1985), no. 4, 625–633. MR 821617, DOI 10.1155/S0161171285000680
Bibliographic Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 303-306
- MSC: Primary 30C45; Secondary 30C50
- DOI: https://doi.org/10.1090/S0002-9939-1986-0835886-2
- MathSciNet review: 835886