THE(p,q)-ANALOG OF MULTIVALENT BAZILEVIC FUNCTIONS ASSOCIATED WITH A LIMACON  

与蚶线有关的多叶Bazilevic函数的(p,q)-模拟

作　　者：HUANG An LONG Pin-hong LIU Jin-lin Gangadharan Murugusundaramoorthy 黄安;龙品红;刘金林;甘加达兰·穆鲁古桑德拉姆斯(宁夏大学数学与统计学院,宁夏银川750021;扬州大学数学系,江苏扬州225009;韦洛尔理工学院数学系,泰米尔纳德韦洛尔632014)

机构地区：[1]School of Mathematics and Statistics,Ningxia University,Ningxia 750021,China [2]Department of Mathematics,Yangzhou University,Jiangsu 225009,China [3]Department of Mathematics,Vellore Institute of Technology,Tamilnadu,Vellore 632014,India

出　　处：《数学杂志》2024年第6期471-484,共14页Journal of Mathematics

基　　金：Supported by Natural Science Foundation of Ningxia(2023AAC 03001);Natural Science Foundation of China(12261068)

摘　　要：This paper studies the problem of functional inequalities for analytic functions in classical geometric function theory.Using the di erential subordination principle and(p,q)-derivative operator,it introduces(p,q)-analog of a class of multivalently Bazilevic functions as-sociated with a limacon function,and obtains the corresponding coefficient estimates and the Fekete-Szego inequality,which extend and improve the related results for starlike functions,even q-starlike functions.本文研究了经典几何函数论中解析函数泛函不等式问题.利用微分从属原理和(p,q)-导数算子,引入了与limacon函数相关某类多叶Bazilevic函数的(p,q)-模拟,获得了相应的系数估计和Fekete-Szego不等式.推广和改进了星型函数甚至q-星型函数相关结果.

关 键 词：Fekete-Szego inequality symmetric Toeplitz determinant multivalent function Bazilevic function (p q)-derivative operator 

分 类 号：O174.51[理学—数学]