On regions of $\alpha$-convexity for starlike functions
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- by S. K. Bajpai
- Proc. Amer. Math. Soc. 44 (1974), 365-368
- DOI: https://doi.org/10.1090/S0002-9939-1974-0344439-6
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Abstract:
In this note an alternative proof to a result of Mocanu and Reade [see Notices Amer. Math. Soc. 20 (1973), A-107] on $\alpha$-convexity region for starlike functions has been obtained.References
- S. K. Bajpai and E. M. Silvia, On certain classes of analytic functions, Notices Amer. Math. Soc. 20 (1973), A-107. Abstract #701-30-17.
- Sanford S. Miller, Petru T. Mocanu, and Maxwell O. Reade, All $\alpha$-convex functions are starlike, Rev. Roumaine Math. Pures Appl. 17 (1972), 1395–1397. MR 324012 P. T. Mocanu and M. O. Reade, The radius of $\alpha$-convexity for the class of starlike univalent functions, $\alpha$-real, Notices Amer. Math. Soc. 20 (1973). A-521. Abstract #706-30-3.
- Albert Schild, On starlike functions of order $\alpha$, Amer. J. Math. 87 (1965), 65–70. MR 174729, DOI 10.2307/2373224
Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 44 (1974), 365-368
- MSC: Primary 30A32
- DOI: https://doi.org/10.1090/S0002-9939-1974-0344439-6
- MathSciNet review: 0344439