Faber polynomial coefficient estimation of subclass of bi-subordinate univalent functions

S. A. Saleh; Alaa H. El-Qadeem; Mohamed A. Mamon

Faber polynomial coefficient estimation of subclass of bi-subordinate univalent functions

Complex Variables 2022-02-25 v6

Authors: S. A. Saleh , Alaa H. El-Qadeem , Mohamed A. Mamon

Abstract

In this paper, a comprehensive subclass of bi-univalent functions class are introduced and investigated. Using the Faber polynomials, estimation of the coefficients $|a_n|$ and certain Fekete-Szeg\"{o} inequality of Maclaurin expansion of functions in this subclass are concluded. Finally, some earlier results are pointed out and improved.

Keywords

bi-univalent functions faber polynomials coefficient estimation fekete-szegő inequality maclaurin expansion

Cite

@article{arxiv.1908.07349,
  title  = {Faber polynomial coefficient estimation of subclass of bi-subordinate univalent functions},
  author = {S. A. Saleh and Alaa H. El-Qadeem and Mohamed A. Mamon},
  journal= {arXiv preprint arXiv:1908.07349},
  year   = {2022}
}

Comments

The results of the second theorem is corected in the new version. Also we add another lemma in the new version which plays a main role in proving our results

Related papers

View all related →