Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (1): 144-149.

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Some Sufficient Conditions for Starlikeness and Convexity

Fu Xiulian   

  1. Department of Computer Science, Guangdong College of Industry and Commerce, Guangzhou 510510
  • Received:2015-07-15 Revised:2015-12-13 Online:2016-02-25 Published:2016-02-25

Abstract:

Using lemmas in [1-3], we obtain some sufficient conditions for subordinations of zf'(z)/f(z) and starlikeness and convexity of f(z) by studying f(z), which generalizes the related results in [1-4].

Key words: Starlike of order α, Convex of order α, Subordination

CLC Number: 

  • O174.51
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