New subclasses of bi-univalent functions defined by multiplier transformation

Saurabh Porwal, Shivam Kumar

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.


Keywords


Analytic, univalent, Bi-univalent functions, Multiplier transformation.

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DOI: http://dx.doi.org/10.24193/subbmath.2020.1.04

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