Work

Convolution Properties of Classes of Analytic and Meromorphic Functions

Year: 2010

Type: article

Abstract: General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike, convex, close-to-convex, and quasiconvex analytic functions are investigated. These classes are shown to be closed under convolution with prestarlike functions and the Bernardi-Libera integral operator. Similar results are also obtained for the classes consisting of meromorphic functions in the punctured unit disk.

Source: Journal of Inequalities and Applications

DOI: 10.1155/2010/385728

Authors: RosihanM Ali, MoradiNargesi Mahnaz, V Ravichandran, KG Subramanian

Institutions: Universiti Sains Malaysia, University of Delhi

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

Funders: Universiti Sains Malaysia, University of Delhi