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Coefficients inequalities for classes of meromorphic functions

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A typical problem in the theory of analytic functions is to study a functional made up of combinations of coefficients of the original function. Usually, there is a parameter over… Click to show full abstract

A typical problem in the theory of analytic functions is to study a functional made up of combinations of coefficients of the original function. Usually, there is a parameter over which the extremal value of the functional is needed. One of the important functionals of this type is the Fekete–Szegö functional defined on the class of analytic functions. In this paper we transfer the Fekete–Szegö problem to some classes of meromorphic functions.

Keywords: coefficients inequalities; meromorphic functions; inequalities classes; classes meromorphic

Journal Title: Turkish Journal of Mathematics
Year Published: 2018

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