2010•Journal of Liaoning Normal UniversityRequires access

A class of analytic functions defined by Salagean dekivatives and Fekete-Szeg inequality

Bao Chun-mei

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Abstract

Set A is a function class constituted by the analytic function f(z)=z+a2z2+…,which is analytical in unit circle E={z:z1}.In this paper,we introduced Salagean operators with the definition of the subclass Mα[n,β,σ,η] of analytic functions A.In the use of the elementary methods,we discussed Fekete-Szeg inequality of this class function and promoted some relevant results.

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Set A is a function class constituted by the analytic function f(z)=z+a2z2+…,which is analytical in unit circle E={z:z1}.In this paper,we introduced Salagean operators with the definition of the subclass Mα[n,β,σ,η] of analytic functions A.In the use of the elementary methods,we discussed Fekete-Szeg inequality of this class function and promoted some relevant results.

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Available abstract

Set A is a function class constituted by the analytic function f(z)=z+a2z2+…,which is analytical in unit circle E={z:z1}.In this paper,we introduced Salagean operators with the definition of the subclass Mα[n,β,σ,η] of analytic functions A.In the use of the elementary methods,we discussed Fekete-Szeg inequality of this class function and promoted some relevant results.

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

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