Subclasses of Starlike Functions Associated with Fractional q-Calculus Operators. (28th April 2013)

• Record Type: Journal Article
• Authors: Murugusundaramoorthy, G.; Selvaraj, C.; Babu, O. S.
• Other Names: Kravchenko Vladislav Academic Editor.
• Is Part Of: Journal of complex analysis. Volume 2013(2013)
• Publication Date: 2013-04-28
• Subjects: Functions of complex variables -- Periodicals; Mathematical analysis -- Periodicals; 515.905
• DOI: 10.1155/2013/572718
• Languages: English
• ISSNs: 2314-4963

Abstract

Abstract : Making use of fractional q -calculus operators, we introduce a new subclass ℳ q ( λ, γ, k ) of starlike functions and determine the coefficient estimate, extreme points, closure theorem, and distortion bounds for functions in ℳ q ( λ, γ, k ) . Furthermore we discuss neighborhood results, subordination theorem, partial sums, and integral means inequalities for functions in ℳ q ( λ, γ, k ) .