International Journal of Nonlinear Analysis and Applications

Subclasses of bi-univalent functions connected to the normalized error function

Articles in Press

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan

Abstract

In this paper, we introduce two new subclasses of the function class $\Sigma$ of bi-univalent functions connected to the normalized error function. Also, we find estimates on the coefficients $|a_{2}|$ and $|a_{3}|$ for functions in these new subclasses. Furthermore, the Fekete-Szeg\"{o} problem for these subclasses is solved. A number of new results are shown to follow upon specializing the parameters involved in our main results.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 02 January 2026
  • Receive Date: 26 May 2024
  • Revise Date: 28 January 2025
  • Accept Date: 15 March 2025