TAILIEUCHUNG - Coefficients inequalities for classes of meromorphic functions

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. | Turk J Math (2018) 42: 2506 – 2512 © TÜBİTAK doi: Turkish Journal of Mathematics Research Article Coefficients inequalities for classes of meromorphic functions Jacek DZIOK1,∗,, Maslina DARUS2 ,, Janusz SOKÓŁ3 , Faculty of Mathematics and Natural Sciences, University of Rzeszów, Rzeszów, Poland 2 Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Selangor Darul Ehsan, Malaysia 3 Faculty of Mathematics and Natural Sciences, University of Rzeszów, Rzeszów, Poland 1 Received: • Accepted/Published Online: • Final Version: 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. Key words: Meromorphic functions, Fekete–Szegö problem, subordination, Hadamard product 1. Introduction Let A denote the class of functions that are analytic in D = {z ∈ C:

• Toán học
• Meromorphic functions
• Fekete–Szegö problem
• Hadamard product
• Meromorphic functions
• Original function
• Nevanlinna five value theorem
• P adic meromorphic functions
• Height of p adic meromorphic functions
• The Nevanlinna five value
• Nevanlinna five value
• Bài viết nghiên cứu khoa học
• Weak meromorphic extension
• Weak extensibility
• Vector valued holomorphic
• Banach valued meromorphic functions
• Meromorphic extension
• Version of nevanlinna five value theorem
• Hayman conjecture for derivatives
• Non Archimedean meromorphic functions
• Uniqueness of derivatives
• Weighted sharing
• Shared set
• Finite linear
• Uniqueness problem
• Difference operators
• Several variables
• Several complex variables
• Some results for normal families
• Generalizations and improvement
• Normal families of meromorphic functions
• W
• Yuan et
• al
• in
• Some problems studied
• Extending hypersurfaces
• Weak Runge pairs
• Cartan’s extension theorem
• Analytic combinatorics
• Lecture Analytic combinatorics
• Combinatorial structures
• Complex analysis
• Meromorphic asymptotics
• Complex functions
• báo cáo khoa học
• báo cáo hóa học
• công trình nghiên cứu về hóa học
• tài liệu về hóa học
• cách trình bày báo cáo
• Normality criteria
• Holomorphic functions
• Shared values
• Normal families