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受限于从属族的bi-单叶函数的系数边界 被引量：5

Coefficient Bounds of Class of Bi-Univalent Functions Defined by Suordination
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摘要 研究了对应于函数f及其逆f-1均在单位开圆盘Δ={z:|z|<1}内单叶解析时的系数估计问题.利用几何函数理论的技术和方法,获得了从属于正实部函数的一类bi-单叶函数和相关子类的部分系数边界的一般化结果,推广了先前的相应研究内容. In this paper,we investigate the coefficient estimate problems associated with the class of univalent functions whose inverse has univalently continuation to Δ.We obtain the coefficient bounds for bi-univalent functions which are subordinate to the function with positive real part.Several related classes of functions are also considered.The results generalized the recent works.
作者 熊良鹏 李小飞 刘晓丽
机构地区 成都理工大学工程技术学院 长江大学工程技术学院
出处 《河南师范大学学报（自然科学版）》 CAS 北大核心 2013年第3期15-18,共4页 Journal of Henan Normal University(Natural Science Edition)
基金 成都理工大学工程技术学院科研发展基金(C122010003) 长江大学教研项目资助(JY201114)
关键词 解析函数 bi-单叶函数 正实部函数 从属 系数估计 aytic functions bi-univalent functions function with positive real part subordination coefficient estimates
分类号 O174.51 [理学—基础数学]
  • 相关文献

参考文献12

  • 1Srivastava H M, Mishra A K, Goehhayat P. Certain subclasses of analytic and bi-univalent functions[J]. Appl Math Lett,2010,23(10) : 1188-1192.
  • 2Lewin M. On a coefficient problem for bi-univalent functions[J]. Proc Amer Math Soc, 1967,18(1):63-68.
  • 3Brannan D A, Clunie J G. Aspects o{ Contemporary Complex Analysis[C]. Proceedings of the NATO Advanced Study Institute,Dur- ham,1979.
  • 4Netanyahu E. The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in [z[[J] Arch Rational Mech Anal, 1969,32 (2) .. 100-112.
  • 5Frasin B A, Aouf M K. New subclasses of bi-univalent functions[J]. Appl Math Lett,2011,24(9):1569-1573.
  • 6Xu Q H, Gui Y C, Srivastava H M. Coefficient estimates for a certain subclass of analytic and bi-univalent functions[J]. Appl Math Lett,2012,25(6) :990-994.
  • 7Ding S S, Ling Y, Bao G J. Some properties of a class of analytic functions[J]. J Math Anal Appl,1995,195(1) :71-81.
  • 8Hallenbeck D J, MacGregor T H. Linear Problems and Convexity Techniques in Geometric Function Theory[M]. Boston: Pitman Ad- vanced Publishing Program, 1984 12-13.
  • 9Janowski W. Some extremal problems for certain families of analytic functions[J]. I Ann Polon Math, 1973,28 (3) :297-326.
  • 10杨静宇,李书海.由线性算子定义的多叶函数的新子类[J].河南师范大学学报（自然科学版）,2012,40(2):1-7. 被引量：3

二级参考文献16

  • 1Saitoh H . A linear operator and its applications of first order differential subordinations [J]. Math Japon, 1996,44(1):31-38.
  • 2Aouf M K, Silverman H, Srivastava H M. Some families of linear operators associated with certain subclasses of multivalent functions [J]. Computers and Mathematics with Applications, 2008,55 (3) : 535-549.
  • 3Aouf M K. A generalization of multivalent functions with negative coefficients. Ⅱ [J]. Bull Korean Math Soc,1988,25(2) :221-232.
  • 4Aouf M K. Certain classed of p-valent functions with negative coefficients. Ⅱ [J]. Indian J Pure Appl Math, 1988,19(8):761-767.
  • 5Gupta V P, Jain P K. Certain classes of univalent functions with negative coefficients. Ⅱ [J]. Bull Austral Math Soc, 1976,14:467-473.
  • 6Lee S K, Owa S, Srivastavs H M. Basic properties and characterizations of a certain class of analytic functions with negative coefficients [J]. Utilitas Math, 1989,36 :121-128.
  • 7Aouf M K. Darwish H E. Some classes of multivalent functions with negative coefficients. I [J]. Honam Math J, 1994,116(1) :119-135.
  • 8Uralegaddi B A, Sarangi S M. Some classes of univalent functions with negative coefficients [J]. An Stiint Univ AII Cuza Lasi Sect I a Mat (N S),1988(2):347-351.
  • 9Bernardi S D. Convex and starlike univalent functions [J]. Trans Amer Math Soc, 1969,135:429-446.
  • 10Owa S. On distortion theorems. I [J]. Kyungpook Math J,1978,18:55-59.

共引文献4

同被引文献37

  • 1杨定恭.关于具有负系数的p叶星象函数的注记[J].纯粹数学与应用数学,1993,9(1):119-122. 被引量：2
  • 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
  • 3Brannan D A, Taha T S. On some classes of bi -univalent functions [ J]. Mathematical Analysis and Its Applications, 1985,2:18 -21.
  • 4Taha T S. Topics in univalent function theory [ D ]. London:University of London, 1981.
  • 5Brannan D A, Clunie J, Kirwan W E. Coefficient estimates for a class of starlike functions[ J ]. Canad J Math, 1970,22:476 -485.
  • 6Lewin M. On a coefficient problem for bi -univalent functions[ J]. Proc Am Math Soc, 1967,18 (1):63 -68.
  • 7Brannan D A, Clunie J G. Aspects of contemporary complex analysis[ C ]//Pro Nato Advan Study Insti. Durham, 1979.
  • 8Netanyahu E. The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in Izl < 1 [J]. Arch Rational Mech Anal,1969,32(2) :100 -112.
  • 9Frasin B A, Aouf M K. New subclasses of bi- univalent functions[ J]. Appl Math Lett,2011,24:1569 -1573.
  • 10Xu Q H, Gui Y C, Srivastava H M. Coefficient estimates for a certain subclass of analytic and bi - univalent functions [ J ]. Appl Math Left ,2012,25 (6) :990 - 994.

引证文献5

二级引证文献7

河南师范大学学报（自然科学版）
2013年 第3期

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