Fekete–Szegö Inequality for Bi-Univalent Functions Subordinate to Horadam Polynomials
Copyright policy )Fekete–Szegö Inequality for Bi-Univalent Functions Subordinate to Horadam Polynomials
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.
- Jazan University Saudi Arabia
- R.V. College of Engineering India
- Al al-Bayt University Jordan
new class of analytic functions, Applied Mathematics, Meromorphic Functions, Geometric Function Theory and Complex Analysis, Univalent Functions, Fekete-Szegő functional, Complex Differential Equations and Meromorphic Functions, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Combinatorics, Coefficient problems for univalent and multivalent functions of one complex variable, Physical Sciences, QA1-939, FOS: Mathematics, coefficient estimates, Geometry and Topology, Complex Analysis and Operator Theory, Mathematics
new class of analytic functions, Applied Mathematics, Meromorphic Functions, Geometric Function Theory and Complex Analysis, Univalent Functions, Fekete-Szegő functional, Complex Differential Equations and Meromorphic Functions, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Combinatorics, Coefficient problems for univalent and multivalent functions of one complex variable, Physical Sciences, QA1-939, FOS: Mathematics, coefficient estimates, Geometry and Topology, Complex Analysis and Operator Theory, Mathematics
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