New subclasses of bi-univalent functions defined by multiplier transformation
DOI:
https://doi.org/10.24193/subbmath.2020.1.04Keywords:
Analytic, univalent, bi-univalent functions, multiplier transformation.Abstract
In the present paper, we introduce new subclasses of the function class $\sum$ of bi-univalent functions by using multiplier transformation. Furthermore, we obtain estimates on the coefficients $|a_2|, |a_3|~\text{and}~|a_4|$ for functions of this class. Relevant connections of the results presented here with various well-known results are briefly indicated.
Mathematics Subject Classification (2010): 30C45.
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