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Peer-reviewedCC BY 4.0Mathematics

Upper Bounds and Fekete–Szegö Problem for Bi-Univalent Functions Involving Bazilevič and λ-Pseudo Functions Related to Lucas-Balancing Polynomials

  • Shaymaa Y. Alkufi1
  • Abbas Kareem Wanas2
  • Alina Alb Lupas3
  1. 1Department of Mathematics, Faculty of Computer Science and Math, University of Kufa, Najaf 31221, Iraq
  2. 2Department of Mathematics, College of Education for Women, University of Al-Qadisiyah, Al Diwaniyah 58001, Iraq
  3. 3Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania
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Abstract

This work introduces two novel classes of bi-univalent functions, denoted by ℬΣ(μ, γ, λ; r) and ΡΣ(μ, γ, λ; r), linked to Lucas-Balancing polynomials within the open unit disk. For functions pertaining to these newly defined classes, we establish estimates for the early Taylor–Maclaurin coefficients |a2| and |a3|. Furthermore, the Fekete–Szegö functional inequalities are evaluated for these families. Subsequently, relevant particular cases and corollaries stemming from our primary findings are emphasized through parameter specialization.

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Cite

BibTeXRIS
BibTeX
@article{alkufi2026upper,
  title = {{Upper Bounds and Fekete–Szegö Problem for Bi-Univalent Functions Involving Bazilevič and λ-Pseudo Functions Related to Lucas-Balancing Polynomials}},
  author = {Shaymaa Y. Alkufi and Abbas Kareem Wanas and Alina Alb Lupas},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14193564},
  url = {https://www.mdpi.com/2227-7390/14/19/3564},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Upper Bounds and Fekete–Szegö Problem for Bi-Univalent Functions Involving Bazilevič and λ-Pseudo Functions Related to Lucas-Balancing Polynomials
AU  - Shaymaa Y. Alkufi
AU  - Abbas Kareem Wanas
AU  - Alina Alb Lupas
PY  - 2026
DA  - 2026/10/01
JO  - Mathematics
DO  - 10.3390/math14193564
UR  - https://www.mdpi.com/2227-7390/14/19/3564
AB  - This work introduces two novel classes of bi-univalent functions, denoted by ℬΣ(μ, γ, λ; r) and ΡΣ(μ, γ, λ; r), linked to Lucas-Balancing polynomials within the open unit disk. For functions pertaining to these newly defined classes, we establish estimates for the early Taylor–Maclaurin coefficients |a2| and |a3|. Furthermore, the Fekete–Szegö functional inequalities are evaluated for these families. Subsequently, relevant particular cases and corollaries stemming from our primary findings are emphasized through parameter specialization.
SN  - 2227-7390
ER  -