Analytic Functions Related with the Hyperbola

Citation:

Dorina R ADUCANU1.Analytic Functions Related with the Hyperbola[J].Chinese Annals of Mathematics B,2013,34(4):515~528
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Authors:

Dorina R ADUCANU1;
Abstract: The author considers a new class SHmλμ(α) of normalized analytic functionsdefined by a differential operator. Several basic properties and characteristics of thefunctions belonging to the class SHmλμ(α) are investigated. These include integral representations,coefficient bounds, the Fekete-Szeg¨o problem, class-preserving operators andTδ-neighborhoods.

Keywords:

Analytic function, Differential operator, Hyperbolic domain, Fekete-Szeg¨o problem, Neighborhood

Classification:

30C45, 30C50
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