Fekete-Szegö problem for a class defined by an integral operator

Kodai Mathematical Journal

Priyabrat Gochhayat¹  Akshaya Kumar Mishra² 

[1] Department of Mathematics Sambalpur University;Department of Mathematics Berhampur University

关键词: Integral operator;    k-uniformly convex function;    elliptic integral;    Fekete-Szegö problem;    Gauss hypergeometric series;   

DOI  :  10.2996/kmj/1278076345

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(19)By making use of an integral operator due to Noor, a new subclass of analytic functions, denoted by k–$¥mathcal{UCV}$n (n ∈ N0 := {0,1,2,...};0 ≤ k < ∞); is introduced. For this class the Fekete-Szegö problem is completely settled. The results obtained here also give the Fekete-Szegö inequalities for the classes of k-uniformly convex functions and k-parabolic starlike functions.

【 授权许可】

Unknown