On Certain Classes of Convex Functions

Young Jae Sim and Oh Sang Kwon

International Journal of Mathematics and Mathematical Sciences, 2013, vol. 2013, 1-6

Abstract:

For real numbers and such that , we denote by the class of normalized analytic functions which satisfy the following two sided-inequality: where denotes the open unit disk. We find some relationships involving functions in the class . And we estimate the bounds of coefficients and solve the Fekete-Szegö problem for functions in this class. Furthermore, we investigate the bounds of initial coefficients of inverse functions or biunivalent functions.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:294378

DOI: 10.1155/2013/294378

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