On the logarithmic coefficients for some classes defined by subordination

Abstract

The logarithmic coefficients of univalent functions play an important role in different estimates in the theory of univalent functions. In this paper, due to the significant importance of the study of these coefficients, we find the upper bounds for some expressions associated with the logarithmic coefficients of functions that belong to some classes defined by using the subordination. Moreover, we get the best upper bounds for the logarithmic coefficients of some subclasses of analytic functions defined and studied in many earlier papers.

Keywords

• univalent functions
• ma-minda-type functions
• subordination
• logarithmic coefficients
• cardioid-type functions