Coefficient Bounds for Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials. (26th November 2017)

• Record Type: Journal Article
• Authors: Güney, Hatun Özlem; Murugusundaramoorthy, G.; Vijaya, K.
• Other Names: Xu Yan Academic Editor.
• Is Part Of: Journal of complex analysis. Volume 2017(2017)
• Publication Date: 2017-11-26
• Subjects: Functions of complex variables -- Periodicals; Mathematical analysis -- Periodicals; 515.905
• DOI: 10.1155/2017/4150210
• Languages: English
• ISSNs: 2314-4963

Abstract

Abstract : We introduce and investigate new subclasses of biunivalent functions defined in the open unit disk, involving Sălăgean operator associated with Chebyshev polynomials. Furthermore, we find estimates of the first two coefficients of functions in these classes, making use of the Chebyshev polynomials. Also, we give Fekete-Szegö inequalities for these function classes. Several consequences of the results are also pointed out.