Fekete-Szego Problem for a Subclass of Meromorphic Functions Defined by the Dziok-Srivastava Operator  

作　　者：Guo Dong Li Zong-tao Xiong Liang-peng 

机构地区：[1]Foundation Department,Chuzhou Vocational and Technical College,Chuzhou,Anhui,239000 [2]Foundation Department,Guangzhou Civil Aviation College,Guangzhou,510403 [3]School of Mathematics and Statistics,Wuhan University,Wuhan,430072

出　　处：《Communications in Mathematical Research》2018年第2期184-192,共9页数学研究通讯（英文版）

基　　金：The NSF(KJ2015A372)of Anhui Provincial Department of Education

摘　　要：By using the hypergeometric function defined by the Dziok-Srivastava operator, a new subclass of meromorphic function is introdued. We obtain Fekete-Szeg? inequalities for the meromorphic function f(z) for which α-(1 + α{1 +z[_lI_mf(z)]′′/[_lI_mf(z)]′}/z[_lI_mf(z)]′/_lI_mf(z))■φ(z)(α ∈ C-{1/2, 1}).By using the hypergeometric function defined by the Dziok-Srivastava operator, a new subclass of meromorphic function is introdued. We obtain Fekete-Szeg? inequalities for the meromorphic function f(z) for which α-(1 + α{1 +z[_lI_mf(z)]′′/[_lI_mf(z)]′}/z[_lI_mf(z)]′/_lI_mf(z))■φ(z)(α ∈ C-{1/2, 1}).

关 键 词：analytic and meromorphic function starlike and convex function hypergeometric function Fekete-Szeg? problem Dziok-Srivastava operator Hadamard product 

分 类 号：O1[理学—数学]