Coefficient Bounds for New Subclasses of m-Fold Symmetric Holomorphic Bi-Univalent Functions

  • Ali Mohammed Ramadhan Department of Mathematics, College of Education, University of Al-Qadisiyah, Diwaniya, Iraq
  • Najah Ali Jiben Al-Ziadi Department of Mathematics, College of Education, University of Al-Qadisiyah, Diwaniya, Iraq
Keywords: holomorphic function, m-fold symmetric holomorphic function, bi-univalent function, m-fold symmetric holomorphic bi-univalent function, coefficient bounds

Abstract

In the present paper, we investigate two new subclasses 〖AR〗_(Σ_m ) (δ,λ;α) and 〖AR〗_(Σ_m ) (δ,λ;β) of Σ_m consisting of m-fold symmetric holomorphic bi-univalent functions in the open unit disk Δ. For functions from the two classes described here, we obtain estimates on the initial bounds |d_(m+1) | and |d_(2m+1) |. In addition, we get new special cases for our results.

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Published
2022-07-05
How to Cite
Ramadhan, A. M., & Al-Ziadi, N. A. J. (2022). Coefficient Bounds for New Subclasses of m-Fold Symmetric Holomorphic Bi-Univalent Functions. Earthline Journal of Mathematical Sciences, 10(2), 227-239. https://doi.org/10.34198/ejms.10222.227239
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Articles

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