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2007•Journal of South China Normal UniversityRequires access

ON THE FEKETE-SZEG PROBLEM FOR THE CLASS OF ANALYTIC FUNCTIONS

Liu Ming-sheng

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Abstract

The Fekete-Szeg inequality for a subclass B(α,SymbollAp,ρ) of the class H of normalized analytic functions is studied.For each f(z)=z+a2z2+a3z3+…B(α,SymbollAp,ρ),the sharp upper bounds of |a3μa22| for any complex parameter μ are obtained by using the fundamental inequalities of analytic functions and analytical techniques.

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The Fekete-Szeg inequality for a subclass B(α,SymbollAp,ρ) of the class H of normalized analytic functions is studied.For each f(z)=z+a2z2+a3z3+…B(α,SymbollAp,ρ),the sharp upper bounds of |a3μa22| for any complex parameter μ are obtained by using the fundamental inequalities of analytic functions and analytical techniques.

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Available abstract

The Fekete-Szeg inequality for a subclass B(α,SymbollAp,ρ) of the class H of normalized analytic functions is studied.For each f(z)=z+a2z2+a3z3+…B(α,SymbollAp,ρ),the sharp upper bounds of |a3μa22| for any complex parameter μ are obtained by using the fundamental inequalities of analytic functions and analytical techniques.

Key concepts: Analytic function, Subclass, Class (philosophy), Mathematics, Inequality, Quasi-analytic function, Pure mathematics, Mathematical analysis

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