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On Coefficient Estimates for a Certain Class of Analytic Functions

Author

Listed:
  • Dorina Răducanu

    (Faculty of Mathematics and Computer Science, Transilvania University of Braşov, Iuliu Maniu, 50, 50091 Braşov, Romania)

Abstract

In this paper, we consider a subclass SQ of normalized analytic functions f satisfying ℜ f ′ ( z ) > 1 / 2 . For the functions in the class SQ , we determine upper bounds for a number of coefficient estimates, among which are initial coefficients, the second Hankel determinant, and the Zalcman functional. Upper estimates for higher-order Schwarzian derivatives are also obtained.

Suggested Citation

  • Dorina Răducanu, 2022. "On Coefficient Estimates for a Certain Class of Analytic Functions," Mathematics, MDPI, vol. 11(1), pages 1-8, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:12-:d:1009167
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