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用算子刻划的亚纯单叶函数类 被引量:7

SOME SUBCLASSES OF MEROMORPHIC UNIVALENT FUNCTIONS DEFINED BY OPERATOR
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摘要 本文用算子刻划了亚纯星象函数、亚纯凸象函数、亚纯近于凸函数和亚纯拟凸函数的新子类,建立了包含关系,讨论了这些类中函数积分算子的性质. In this paper we introduce and study some new subclasses of meromorphic univalent functions defined by operator. Inclusion relations are established and integral operator of functions in these subclasses are discussed.
作者 刘金林
机构地区 扬州大学
出处 《数学杂志》 CSCD 1999年第1期105-110,共6页 Journal of Mathematics
关键词 亚纯星象函数 亚纯凸象函数 算子 亚纯单叶函数 Meromorphic starlikd Meromorphic convex Meromorphic close-to-convex Meromorphic quasi-convex Integral operator.
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参考文献4

  • 1Liu Jinlin,J Math Anal Appl,1996年,199卷,936页
  • 2Lin Jinlin,日本京都大学数理解析研究所讲究录,1996年,68页
  • 3Liu Jinlin,Soochow J Math (台湾),1995年,21卷,2期,179页
  • 4Yang Dingiong,数学研究与评论,1995年,157页

同被引文献23

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  • 5YANG Ding-gong, LIU Jin-lin. On a class of analytic functions involving Ruscheweyh derivatives [J]. Bull Korean Math Soc, 2002, 39:123-131.
  • 6LIU Jin-lin, SRIVASTAVA H M. Subclasses of meromorphically multivalent functions associated with a certain linear operator [J]. Math Comput Modelling, 2004, 39: 35-44.
  • 7LIU Jin-lin, SRIVASTAVA H M. A linear operator and associated families of meromorphically multivalent functions [J]. J Math Anal Appl, 2001, 259: 566-581.
  • 8LIU Jin-lin, SRIVASTAVA H M. Classes of meromorphically multivalent functions associated with the generalized hyper geometric function [J]. Math Comput Modelling, 2004, 39: 21-34.
  • 9Noor K I.On some applications of the Ruscheweyh derivatives[J].Math Japonica.1991,36(5):869-874.
  • 10Liu Jin-lin,A linear operator and strongly starlike functions[J].J.Math.Soc.Japan,2002,(54):975-981.

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