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NEW CHARACTERIZATION OF THE CLASS OF STARLIKE FUNCTIONS

  • Yavuz, Emel (DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE TC ISTANBUL KULTUR UNIVERSITY) ;
  • Polatoglu, Yasar (DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE TC ISTANBUL KULTUR UNIVERSITY) ;
  • Owa, Shigeyoshi (DEPARTMENT OF MATHEMATICS KINKI UNIVERSITY)
  • Published : 2008.11.30

Abstract

For analytic functions f(z) in the open unit disc $\mathbb{D}$, an operator $N_{\alpha}(f(z))$ relating with starlike functions is introduced. The object of the present paper is to discuss some properties of the operator $N_{\alpha}(f(z))$.

References

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