Convolution Properties of Classes of Analytic and Meromorphic Functions. (13th June 2010)

• Record Type: Journal Article
• Authors: Ali, Rosihan M.; Mahnaz, Moradi Nargesi; Ravichandran, V.; Subramanian, K. G.
• Other Names: Takahasi Sin E. Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2010(2010)
• Publication Date: 2010-06-13
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2010/385728
• Languages: English
• ISSNs: 1029-242X

Abstract

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.