A Family of Bi-Univalent Functions Defined by( p, q)-Derivative Operator Subordinate to a GeneralizedBivariate Fibonacci Polynomials

Making use of a generalized bivariate Fibonacci polynomials, we propose a family of normalized regular functions ψ(ζ) = ζ + d2ζ2 + d3ζ3 + · · · , which are bi-univalent in the disc {ζ ∈ C : |ζ| < 1} involving (p, q)-derivative operator. We find estimates on the coefficients |d2|, |d3| and the Fekete-Szeg¨o inequality for members of this family. New implications of the primary result as well as pertinent links to previously published findings are also provided.

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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2024-10-31
DOI
https://doi.org/10.29020/nybg.ejpam.v17i4.5526
Citations
5
Primary Topic
X-ray Diffraction in Crystallography
Type
article
Field-Weighted Citation Impact
0.59
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article

A Family of Bi-Univalent Functions Defined by( p, q)-Derivative Operator Subordinate to a GeneralizedBivariate Fibonacci Polynomials

Basem Aref Frasin, Jamal Salah, Sondekola Rudra Swamy, Ala Amourah et al.
5 citations
European Journal of Pure and Applied Mathematics
X-ray Diffraction in Crystallography
0.59
article

A Family of Bi-Univalent Functions Defined by( p, q)-Derivative Operator Subordinate to a GeneralizedBivariate Fibonacci Polynomials

Basem Aref Frasin, Jamal Salah, Sondekola Rudra Swamy, Ala Amourah, Ranjitha Hebbar Maheshwarappa
article en
5 citations

Abstract

Making use of a generalized bivariate Fibonacci polynomials, we propose a family of normalized regular functions ψ(ζ) = ζ + d2ζ2 + d3ζ3 + · · · , which are bi-univalent in the disc {ζ ∈ C : |ζ| < 1} involving (p, q)-derivative operator. We find estimates on the coefficients |d2|, |d3| and the Fekete-Szeg¨o inequality for members of this family. New implications of the primary result as well as pertinent links to previously published findings are also provided.

European Journal of Pure and Applied MathematicsVol. 17(4)
Sohar University (OM)
Reduced inequalities
Openalex Percentile: Top 33%
X-ray Diffraction in Crystallography
0.59
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A Family of Bi-Univalent Functions Defined by( p, q)-Derivative Operator Subordinate to a GeneralizedBivariate Fibonacci Polynomials — Basem Aref Frasin, Jamal Salah, et al. · European Journal of Pure and Applied Mathematics (2024) | TGRS Research Map | TGRS