Note on bounds on the coefficients of a subclass of m-fold symmetric bi-univalent functions

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions which both f(z) and f−1(z) are m-fold symmetric on the open unit disk. Furthermore, we find upper bounds for the initial coefficients |am+1| and |a2m+1| for functions in this subclass. The results presented in this paper generalize and improve some recent works.

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Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).