Coefficients inequalities for classes of meromorphic functions | Zendy

Jacek Dziok | Zendy; Maslina Darus | Zendy; Janusz Sokół | Zendy

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Coefficients inequalities for classes of meromorphic functions

Author(s) -

Jacek Dziok,

Maslina Darus,

Janusz Sokół

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1703-100

Subject(s) - meromorphic function , mathematics , analytic function , pure mathematics , class (philosophy) , value (mathematics) , function (biology) , type (biology) , inequality , functional equation , algebra over a field , mathematical analysis , differential equation , statistics , artificial intelligence , evolutionary biology , computer science , biology , ecology

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.

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