Fekete-Szeg Problems for Certain Classes of Meromorphic Functions Using q-Derivative Operator  

作　　者：Huo TANG H.M.ZAYED A.O.MOSTAFA M.K.AOUF 

机构地区：[1]School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China [2]Department of Mathematics, Faculty of Science, Menofia University, Shebin Elkom 32511, Egypt [3]Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

出　　处：《Journal of Mathematical Research with Applications》2018年第3期236-246,共11页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11561001;11271045);the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(Grant No.NJYT-18-A14);the Natural Science Foundation of Inner Mongolia(Grant Nos.2010MS0117;2014MS0101;2017MS0113);the Higher School Foundation of Inner Mongolia(Grant Nos.NJZY16251;NJZY17300;NJZY17301;NJZY18217);the Natural Science Foundation of Chifeng

摘　　要：In this paper, we introduce two subclasses Eq ＊（φ） and ∑＊q,a（φ） of meromorphic functions f（z） for which qzDqf（z）/f（z）〈φ （z） and-（1-a/q）qzDqf（z）＋azqDq[zDqf（z）]/（1-a/q）f（z）-azDqf（z）〈φ（z）,a ∈ C／（0,1],0〈q〈1, respectively. Sharp bounds for the Fekete-Szeg5 functional lal-tta21 of the above classes are obtained. Also, we consider some applications of the results obtained to functions defined by q-Bessel function.In this paper, we introduce two subclasses Eq ＊（φ） and ∑＊q,a（φ） of meromorphic functions f（z） for which qzDqf（z）/f（z）〈φ （z） and-（1-a/q）qzDqf（z）＋azqDq[zDqf（z）]/（1-a/q）f（z）-azDqf（z）〈φ（z）,a ∈ C／（0,1],0〈q〈1, respectively. Sharp bounds for the Fekete-Szeg5 functional lal-tta21 of the above classes are obtained. Also, we consider some applications of the results obtained to functions defined by q-Bessel function.

关 键 词：analytic function meromorphic function Fekete-Szego problem q-derivative operator q-Bessel function 

分 类 号：O174.52[理学—数学]