Applications of Lucas Balancing Polynomial to Subclasses of Bi-Starlike Functions

The Lucas balancing polynomial is linked to a family of bi-starlike functions denoted as Sscc(ϑ,Ξ(x)), which we present and examine in this work. These functions are defined with respect to symmetric conjugate points. Coefficient estimates are obtained for functions in this family. The classical Fekete–Szegö inequality of functions in this family is also obtained.

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Journal
Axioms
Published
2025-01-10
DOI
https://doi.org/10.3390/axioms14010050
Citations
1
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
4.09
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article

Applications of Lucas Balancing Polynomial to Subclasses of Bi-Starlike Functions

Luminiţa-Ioana Cotîrlă, Sheza M. El-Deeb, G. Murugusundaramoorthy, Daniel Breaz
1 citations
Axioms
Analytic and geometric function theory
4.09
article

Applications of Lucas Balancing Polynomial to Subclasses of Bi-Starlike Functions

Luminiţa-Ioana Cotîrlă, Sheza M. El-Deeb, G. Murugusundaramoorthy, Daniel Breaz
article en
1 citations

Abstract

The Lucas balancing polynomial is linked to a family of bi-starlike functions denoted as Sscc(ϑ,Ξ(x)), which we present and examine in this work. These functions are defined with respect to symmetric conjugate points. Coefficient estimates are obtained for functions in this family. The classical Fekete–Szegö inequality of functions in this family is also obtained.

AxiomsVol. 14(1)
Qassim University (SA), Technical University of Cluj-Napoca (RO), 1 Decembrie 1918 University (RO), Vellore Institute of Technology University (IN)
Reduced inequalities
Openalex Percentile: Top 13%
Analytic and geometric function theory
4.09
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