Applications of Horadam Polynomials for Bi-univalent Functions associated with Gamma-Starlike Function

Authors

  • Hayder Kadim Mohammed Directorate of Education Qadisiyah, Ministry of Education-Iraq

DOI:

https://doi.org/10.29304/jqcsm.2024.16.41802

Keywords:

Horadam Polynomials, Gamma-Starlike Functions, Coefficient bounds, Subordination, Bi-univalent function

Abstract

This study presents a novel subclass of analytic and bi-univalent functions within the open unit disk, utilizing Horadam polynomials related to Gamma-starlike functions. Our primary focus is on deriving upper bounds for the second and third Taylor-Maclaurin coefficients of functions belonging to this subclass. We employ subordination techniques and properties of Horadam polynomials to establish these coefficient estimates.

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References

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Published

2024-12-30

How to Cite

Kadim Mohammed, H. (2024). Applications of Horadam Polynomials for Bi-univalent Functions associated with Gamma-Starlike Function. Journal of Al-Qadisiyah for Computer Science and Mathematics, 16(4), Math. 43–51. https://doi.org/10.29304/jqcsm.2024.16.41802

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Section

Math Articles