A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions. (23rd May 2017)

• Record Type: Journal Article
• Authors: Hussain, Saqib; Rasheed, Akhter; Zaighum, Muhammad Asad; Darus, Maslina
• Other Names: Ragusa Maria Alessandra Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2017(2017)
• Publication Date: 2017-05-23
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2017/9010964
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We investigate some subclasses of k -uniformly convex and k -uniformly starlike functions in open unit disc, which is generalization of class of convex and starlike functions. Some coefficient inequalities, a distortion theorem, the radii of close-to-convexity, and starlikeness and convexity for these classes of functions are studied. The behavior of these classes under a certain modified convolution operator is also discussed.