Horadam多项式定义的两类双单叶解析函数的系数估计  

Initial Bounds for two Subclasses of Bi-univalent Functions Defined by Horadam Polynomials

作　　者：张成[1] ZHANG Cheng(Basic Courses Department,Chuzhou City Vocation College,Chuzhou 239000,China)

机构地区：[1]滁州城市职业学院基础部,安徽滁州239000

出　　处：《五邑大学学报（自然科学版）》2021年第3期14-19,共6页Journal of Wuyi University(Natural Science Edition)

基　　金：安徽省高校自然科学基金资助项目(KJ2018A0833);安徽省高等学校省级质量工程项目(2018mooc608);安徽省职业与成人教育学会教研规划课题(azcg162)。

摘　　要：利用Horadam多项式和函数∏(x,z),引入了两类双单叶解析函数类G_(∑)(λ;x)和R_(∑)^(γ,λ)(x),对这两类函数的系数a_(2)和a_(3)进行精确估计,结果改进和推广了既有文献的结论.The main purpose of this paper is to make use of the Horadam polynomials h_(n)x and the generating function ∏(x,z) to introduce two subclasses of the bi-univalent function class ∑.Furthermore,we obtain estimates on the first two coefficients of functions in these new subclasses.The results presented in this paper improve or generalize the recent works of other authors.

关 键 词：双单叶函数 双伪星函数 双Bazilevic函数 Horadam多项式 

分 类 号：O174.51[理学—数学]