Coefficient bounds and Fekete-Szeg¨o inequality for a unified subclass of m-fold symmetric bi-univalent functions
DOI:
https://doi.org/10.24193/subbmath.2026.2.05Keywords:
Analytic functions, univalent functions, Sakaguchi-type functions, bi univalent functions, m-fold symmetric functions, subordinationAbstract
In this paper, we introduce a new and unified subclass of m-fold symmetric biunivalent functions by subordinating to generalized Janowski function, in the open unit disc E = {z :| z |< 1}. Bounds for the initial coefficients and Fekete-Szeg¨o inequality for the functions in this class are studied. Particular cases of the results derived here are also discussed.
Mathematics Subject Classification (2010): 30C45, 30C50. Keywords: Analytic functions, univalent functions, Sakaguchi-type functions, bi univalent functions, m-fold symmetric functions, subordination.
Received 27 January 2026; Accepted 29 March 2026.
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