Upper bound of second Hankel determinant of subclass of bi-univalent functions defined by subordination

Alaa H. El-Qadeem; Mohamed A. Mamon

Upper bound of second Hankel determinant of subclass of bi-univalent functions defined by subordination

Complex Variables 2019-08-21 v1

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

Abstract

In this paper, new class of bi-univalent functions are introduced. Upper bound of the second Hankel determinant $|H_2(2)|$ of subclass of bi-univalant functions class $\Sigma$ , which defined by subordination, investigated. Furthermore, some results concluded as a special case of our main results and corrected some previous researchers results which investigated by miscalculation.

Keywords

bi-univalent functions subordination hankel determinant upper bound coefficient problems

Cite

@article{arxiv.1908.07350,
  title  = {Upper bound of second Hankel determinant of subclass of bi-univalent functions defined by subordination},
  author = {Alaa H. El-Qadeem and Mohamed A. Mamon},
  journal= {arXiv preprint arXiv:1908.07350},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1809.09365 by other authors

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