Certain class of m-fold functions by applying Faber polynomial expansions
DOI:
https://doi.org/10.24193/subbmath.2021.3.07Keywords:
m-fold symmetric bi-univalent functions, coefficient estimates, Faber polynomial expansions.Abstract
In this paper, we introduce new class Σm(µ, λ, γ, β) of m-fold symmet- ric bi-univalent functions. Furthermore, we use the Faber polynomial expansions to find upper bounds for the general coefficients |amk+1|(k >= 2) of functions in the class Σm(µ, λ, γ, β). Moreover, we obtain estimates for the initial coefficients |am+1| and |a2m+1| for functions in this class. The results presented in this paper would generalize and improve some recent works.
Mathematics Subject Classification (2010): 30C45, 30C80.
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