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由微分算子定义的双单叶函数类的系数估计

Coefficient Estimates for Certain Subclass of Bi-univalent Functions Involving a General Differential Operator
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摘要 利用一类普通算子定义单位圆盘U内的双单叶解析函数类MN^h,pΣ(λ,μ;m,δ),并研究它的泰勒展式中第2项与第3项系数的估计结果,推广了众多已知文献的结论. In this paper, a familiar subclass M N h,p Σ(λ,μ;m,δ) of analytic and bi-univalent functions in the open unit disk U defined by a general differential operator are introduced and investigated. Estimates for the second and third coefficients of their Taylor expansion are obtained. Some relevant connections of the result presented here with various well-known results are briefly indicated.
作者 赵伟 秦川 李小飞 ZHAO Wei;QIN Chuan;LI Xiaofei(College of Engineering and Technology,Yangtze University,Jingzhou 434020,Hubei;School of Information and Mathematics,Yangtze University,Jingzhou 434023,Hubei)
出处 《四川师范大学学报(自然科学版)》 CAS 北大核心 2019年第3期362-367,共6页 Journal of Sichuan Normal University(Natural Science)
基金 湖北省自然科学基金(2013CFAO053) 长江大学工程技术学院科技创新基金(2017KY10)
关键词 解析 双单叶 微分算子 从属 analytic bi-univalent differential operator subordination
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  • 1邓琴.具有复阶的某类解析函数[J].杭州电子科技大学学报(自然科学版),2010,30(3):88-90. 被引量:1
  • 2邓琴.Bazilevic函数相邻两系数模之差的估计[J].数学学报(中文版),2006,49(5):1195-1200. 被引量:8
  • 3Mocanu P T. Une propriete de convexite generalisee dans la theorie de la representation conforme. Math?ematica (Cluj), 1969, 11: 127-133. 被引量:1
  • 4Miller S S, Mocanu P T, Reade M O. All a-convex functions are univalent and starlike. Proc Amer Math Soc, 1973, 37: 553-554. 被引量:1
  • 5Lewandowski Z, Miller S, Zlotkiewicz E. Gamma-starlike functions. Annales Universitatis Mariae Curie?Sklodowska Lublin-Polonia, 1974, 28: 53-58. 被引量:1
  • 6Sokol J. On a condition for o-starlikeness, J Math Anal Appl, 2009, 352: 696-701. 被引量:1
  • 7Aouf M K, Dziok J, Sokol J. On a subclass of strongly starlike functions. Appl Math Lett, 2011, 24: 27-32. 被引量:1
  • 8Sokol J. A certain class of starlike functions. Comput Math Appl, 2011, 62: 611-619. 被引量:1
  • 9Ali R M. Coefficients of the inverse of strongly starlike functions. Bull Malaysian Math Sci Soc, 2003, 26: 63-71. 被引量:1
  • 10Ma W C, Minda D. A unified treatment of some special classes of univalent functions/ /Proceedings of the Conference on Complex Analysis (Tianjin, 1992). Conf Proc Lecture Notes Anal I, Cambridge, MA: Int Press, 1994: 157-169. 被引量:1

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