On Coefficient Estimates for a Certain Class of Analytic Functions

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

Mathematics, 2022, vol. 11, issue 1, 1-8

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.

Keywords: analytic functions; coefficient estimates; Hankel determinant; Schwarzian derivative (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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