数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (3): 338-347.

• 论文 • 上一篇    下一篇

CERTAIN SUBCLASSES OF ANALYTIC p-VALENT FUNCTIONS FOR OPERATORS ON HILBERT SPACE

蹇明   

  1. Dept. of Math., Wuhan University of Technology, Wuhan 430070, China
  • 收稿日期:1992-04-23 出版日期:1994-09-25 发布日期:1994-09-25
  • 基金资助:
    Supported by the Exchusive Research Fund for Doctor Programs in Higher Institutions of China.

CERTAIN SUBCLASSES OF ANALYTIC p-VALENT FUNCTIONS FOR OPERATORS ON HILBERT SPACE

Jian Ming   

  1. Dept. of Math., Wuhan University of Technology, Wuhan 430070, China
  • Received:1992-04-23 Online:1994-09-25 Published:1994-09-25
  • Supported by:
    Supported by the Exchusive Research Fund for Doctor Programs in Higher Institutions of China.

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摘要： In this paper,We mainly discuss some subclasses of analytic functions for operators on H, and determine a representation formula and sufficient condition for the class Φp*(α,β,γ,ε,η) and prove a sufficient and necessary condition.coefficient estimates and distortiontheorem for the subclass Φp0*(α,β,γ,ε,η) of the class Φp*(α,β,γ,ε,η).Furthermore,the analogues also are true for operators on Hilbert space.

Abstract: In this paper,We mainly discuss some subclasses of analytic functions for operators on H, and determine a representation formula and sufficient condition for the class Φp*(α,β,γ,ε,η) and prove a sufficient and necessary condition.coefficient estimates and distortiontheorem for the subclass Φp0*(α,β,γ,ε,η) of the class Φp*(α,β,γ,ε,η).Furthermore,the analogues also are true for operators on Hilbert space.

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