Fixed Coefficients for Certain Subclass of Univalent Functions with Negative Coefficients

@inproceedings{Aouf2006FixedCF,
  title={Fixed Coefficients for Certain Subclass of Univalent Functions with Negative Coefficients},
  author={Mohamed Kamal Aouf},
  year={2006}
}
In this paper we consider the class Tc(n, λ, α) consisting of analytic and univalent functions with negative coefficients and fixed second coefficient.The object of the present paper is to show coefficient estimates, convex linear combinations, some distortion theorems and radii of starlikeness and convexity for f(z) in the class Tc(n, λ, α). The results are generalized to families with finitely many fixed coefficients. 

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References

Publications referenced by this paper.
Showing 1-6 of 6 references

New criteria for univalent functions

  • St. Ruscheweyh
  • Proc. Amer. Math. Soc
  • 1975
Highly Influential
5 Excerpts

Fixed coefficients for subclasses of starlike functions

  • H. Silverman, E. M. Silvia
  • Houston J. Math
  • 1981
Highly Influential
3 Excerpts

Some applications of fractional calculus operators to a certain class of univalent functions with negative coefficients

  • M. K. Aouf, Ming - Po-Chen
  • J. of Fractional Calculus
  • 1995
4 Excerpts

On Ruscheweyh derivatives

  • Ming-Po-Chen
  • Ann . Polon . Math . Pusan Kyongnam Math . J .
  • 1988

Al-Amiri, On Ruscheweyh derivatives, Ann

  • H S.
  • Polon. Math
  • 1980
3 Excerpts

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