On the Coefficients of Several Classes of Bi-Univalent Functions Defined by Convolution

Authors

  • Dong Guo Foundation Department, Chuzhou Vocational and Technical College, Chuzhou, Anhui, 239000
  • Zongtao Li Foundation Department, Guangzhou Civil Aviation College, Guangzhou, 510403

DOI:

https://doi.org/10.13447/j.1674-5647.2018.01.07

Keywords:

analytic and univalent functions, coefficient, bi-univalent function, Hadamard product, convolution

Abstract

In this paper, we introduce several new subclasses of the function class $\it\Sigma$ of bi-univalent functions analytic in the open unit disc defined by convolution. Furthermore, we investigate the bounds of the coefficients $|a_2|$ and $|a_3|$ for functions in these new subclasses. The results presented in this paper improve or generalize the recent works of other authors.

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Published

2020-03-18

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Issue

Vol. 34 No. 1 (2018)

Section

Articles

How to Cite

On the Coefficients of Several Classes of Bi-Univalent Functions Defined by Convolution. (2020). Communications in Mathematical Research, 34(1), 65-76. https://doi.org/10.13447/j.1674-5647.2018.01.07