On Certain Subclasses of Analytic Functions Involving Carlson-Shaffer Operator and Related to Lemniscate of Bernoulli. (16th December 2014)

• Record Type: Journal Article
• Authors: Patel, Jagannath; Sahoo, Ashok Kumar
• Other Names: Montes-Rodriguez Alfonso Academic Editor.
• Is Part Of: Journal of complex analysis. Volume 2014(2014)
• Publication Date: 2014-12-16
• Subjects: Functions of complex variables -- Periodicals; Mathematical analysis -- Periodicals; 515.905
• DOI: 10.1155/2014/295703
• Languages: English
• ISSNs: 2314-4963

Abstract

Abstract : The object of the present investigation is to solve the Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new classR ( a, c ) of analytic functions involving the Carlson-Shaffer operator in the unit disk. We also obtain a sufficient condition for normalized analytic functions in the unit disk to be in this class.