Coefficient Estimate of Biunivalent Functions of Complex Order Associated with the Hohlov Operator. (10th April 2014)

• Record Type: Journal Article
• Authors: Peng, Z.; Murugusundaramoorthy, G.; Janani, T.
• Other Names: Dziok J. Academic Editor.
• Is Part Of: Journal of complex analysis. Volume 2014(2014)
• Publication Date: 2014-04-10
• Subjects: Functions of complex variables -- Periodicals; Mathematical analysis -- Periodicals; 515.905
• DOI: 10.1155/2014/693908
• Languages: English
• ISSNs: 2314-4963

Abstract

Abstract : We introduce and investigate a new subclass of the function classΣ of biunivalent functions of complex order defined in the open unit disk, which are associated with the Hohlov operator, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients| a 2 | and| a 3 | for functions in this new subclass. Several, known or new, consequences of the results are also pointed out.