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.
Authors
- Basem Aref Frasin (ORCID: https://orcid.org/0000-0001-8608-8063)
- Jamal Salah (ORCID: https://orcid.org/0000-0003-0211-3677)
- Sondekola Rudra Swamy (ORCID: https://orcid.org/0000-0002-8088-4103)
- Ala Amourah (ORCID: https://orcid.org/0000-0001-9287-7704)
- Ranjitha Hebbar Maheshwarappa
Institutions
- Sohar University (OM)
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