Applications of Gegenbauer Polynomials for Two Families of Bi-univalent Functions Associating λ-Pseudo-Starlike and Convex Functions with Sakaguchi Type Functions

Authors

  • Bedaa Alawi Abd Department of Mathematics, College of Science, University of Al-Qadisiyah,Iraq
  • Abbas Kareem Wanas Department of Mathematics, College of Science, University of Al-Qadisiyah,Iraq

DOI:

https://doi.org/10.29304/jqcsm.2024.16.11443

Keywords:

Bi-univalent function, Holomorphic function, , function λ-pseudo, Estimation of coefficients, polynomials Gegenbauer, Fekete-Szeg(o ) ̈ problem

Abstract

In the present article, we introduce two families  and  of holomorphic and bi-univalent functions associating -pseudo-starlike and convex functions with Sakaguchi type functions defined by Gegenbauer polynomials. We derive the initial Maclaurin coefficients estimates and determinate the Fekete-Szeg  problem of functions in these families.

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References

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Published

2024-03-30

How to Cite

Alawi Abd , B., & Kareem Wanas , A. (2024). Applications of Gegenbauer Polynomials for Two Families of Bi-univalent Functions Associating λ-Pseudo-Starlike and Convex Functions with Sakaguchi Type Functions. Journal of Al-Qadisiyah for Computer Science and Mathematics, 16(1), Math. 1–15. https://doi.org/10.29304/jqcsm.2024.16.11443

Issue

Vol. 16 No. 1 (2024): JQCM

Section

Math Articles

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Copyright (c) 2024 Bedaa Alawi Abd , Abbas Kareem Wanas

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