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Keywords = Horodam polynomials

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17 pages, 364 KB  
Article
Two Families of Bi-Univalent Functions Associating the (p, q)-Derivative with Generalized Bivariate Fibonacci Polynomials
by Sondekola Rudra Swamy, Basem Aref Frasin, Daniel Breaz and Luminita-Ioana Cotîrlă
Mathematics 2024, 12(24), 3933; https://doi.org/10.3390/math12243933 - 13 Dec 2024
Cited by 7 | Viewed by 1180
Abstract
Making use of generalized bivariate Fibonacci polynomials, we propose two families of regular functions of the type ϕ(ζ)=ζ+j=2djζj, which are bi-univalent in the disc [...] Read more.
Making use of generalized bivariate Fibonacci polynomials, we propose two families of regular functions of the type ϕ(ζ)=ζ+j=2djζj, which are bi-univalent in the disc {ζC:|ζ|<1} involving the (p, q)-derivative operator. We find estimates on the coefficients |d2|, |d3| and the of Fekete–Szegö functional for members of these families. Relevant connections to the existing results and new consequences of the main result are presented. Full article
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