Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 185-189.

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Convexity Condition for a Class of Operator  

  

  1. Department of Mathematics and Science, Yangzhou University

  • Received:2008-04-22 Online:2011-06-30 Published:2023-04-26
  • About author:LU Da-qian(1984-), female, native of Suqian, Jiangsu, a student of Yangzhou University, engages in complex analysis.
  • Supported by:
    Supported by the National Natural Science Foundation of Mathematics Tianyuan Fund(A0524629);

Abstract: In this paper, we find a subclass of starlike functions on the unit disk, which are mapped by a operator, given by F(z)=(1+u)/zuz0f(t)tu-1dt(Reu≥0), onto convex functions. The main results extend some known results.

Key words: di?erential subordination, dominant, integral operator

CLC Number: