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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On regions of $\alpha$-convexity for starlike functions
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by S. K. Bajpai PDF
Proc. Amer. Math. Soc. 44 (1974), 365-368 Request permission

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
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Additional 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