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Journal of Function Spaces
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Journal of Function Spaces
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Journal of Function Spaces
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Fekete–Szegö Inequality for Bi-Univalent Functions Subordinate to Horadam Polynomials

عدم مساواة فيكيتي- سيغو للوظائف ثنائية التكافؤ التابعة لكثيرات حدود هورادام
Authors: Amnah E. Shammaky; B. A. Frasin; S. R. Swamy;

Fekete–Szegö Inequality for Bi-Univalent Functions Subordinate to Horadam Polynomials

Abstract

Making use of Horadam polynomials, we propose a special family of regular functions of the typegz=z+∑j=2∞djzjwhich are bi-univalent (or bi-schlicht) in the discz∈ℂ:z<1. We find estimates on the coefficientsd2andd3and the functional of Fekete–Szegö for functions in this subfamily. Relevant connections to existing results and new observations of the main result are also presented.

Keywords

Applied Mathematics, Meromorphic Functions, Geometric Function Theory and Complex Analysis, Univalent Functions, Complex Differential Equations and Meromorphic Functions, Combinatorics, Physical Sciences, QA1-939, FOS: Mathematics, Geometry and Topology, Complex Analysis and Operator Theory, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Top 10%
gold