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Authors: AHMAD MOTAMEDNEZHAD, SAFA SALEHIAN.
DOI: 10.24193/subbmath. 2021.3.07
Published Online: 2021-09-30
Published Print: 2021-09-30
pp. 491-505
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In this paper, we introduce new class $Sigma_{m}(mu,lambda,gamma,eta)$ of $m$-fold symmetric bi-univalent functions. Furthermore, we use the Faber polynomial expansions to find upper bounds for the general coefficients $|a_{mk+1}|(k geqq 2)$ of functions in the class $Sigma_{m}(mu,lambda,gamma,eta)$. Moreover, we obtain estimates for the initial coefficients $|a_{m+1}| $ and $|a_{2m+1}|$ for functions in this class. The results presented in this paper would generalize and improve some recent works.
Mathematics Subject Classification (2010): 30C45, 30C80.
Keywords: m-fold symmetric bi-univalent functions, Coefficient estimates, Faber polynomial expansions
